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Suppose a wave is represented by y = 0.2 sin (200t - 0.09). Calculate A, 03bb, V and t, where t is in Second.

June 2, 2026Physics

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Graph of y = 0.2sin(200t − 0.09)

Key points of y = 0.2sin(200t − 0.09)
Point	t	y
x-intercept	−1.98	0
Maximum	−1.97	0.2
x-intercept	−1.96	0
Minimum	−1.96	−0.2
x-intercept	−1.95	0
Maximum	−1.94	0.2
x-intercept	−1.93	0
Minimum	−1.92	−0.2
x-intercept	−1.92	0
Maximum	−1.91	0.2
x-intercept	−1.9	0
Minimum	−1.89	−0.2
x-intercept	−1.88	0
Maximum	−1.88	0.2
x-intercept	−1.87	0
Minimum	−1.86	−0.2
x-intercept	−1.85	0
Maximum	−1.85	0.2
x-intercept	−1.84	0
Minimum	−1.83	−0.2
x-intercept	−1.82	0
Maximum	−1.81	0.2
x-intercept	−1.81	0
Minimum	−1.8	−0.2
x-intercept	−1.79	0
Maximum	−1.78	0.2
x-intercept	−1.77	0
Minimum	−1.77	−0.2
x-intercept	−1.76	0
Maximum	−1.75	0.2
x-intercept	−1.74	0
Minimum	−1.74	−0.2
x-intercept	−1.73	0
Maximum	−1.72	0.2
x-intercept	−1.71	0
Minimum	−1.7	−0.2
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Minimum	−1.58	−0.2
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Maximum	−1.56	0.2
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Minimum	−1.55	−0.2
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Minimum	−1.52	−0.2
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Maximum	−1.5	0.2
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Minimum	−1.48	−0.2
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Maximum	−1.47	0.2
x-intercept	−1.46	0
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Maximum	−1.44	0.2
x-intercept	−1.43	0
Minimum	−1.42	−0.2
x-intercept	−1.41	0
Maximum	−1.41	0.2
x-intercept	−1.4	0
Minimum	−1.39	−0.2
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Maximum	−1.37	0.2
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Minimum	−1.36	−0.2
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Maximum	−1.34	0.2
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Maximum	−1.28	0.2
x-intercept	−1.27	0
Minimum	−1.26	−0.2
x-intercept	−1.26	0
Maximum	−1.25	0.2
x-intercept	−1.24	0
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Maximum	−1.22	0.2
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Maximum	−1.19	0.2
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Minimum	−1.17	−0.2
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Maximum	−1.15	0.2
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Maximum	−1.12	0.2
x-intercept	−1.11	0
Minimum	−1.11	−0.2
x-intercept	−1.1	0
Maximum	−1.09	0.2
x-intercept	−1.08	0
Minimum	−1.08	−0.2
x-intercept	−1.07	0
Maximum	−1.06	0.2
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Minimum	−1.04	−0.2
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Maximum	−1.03	0.2
x-intercept	−1.02	0
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Minimum	−0.98	−0.2
x-intercept	−0.97	0
Maximum	−0.97	0.2
x-intercept	−0.96	0
Minimum	−0.95	−0.2
x-intercept	−0.94	0
Maximum	−0.93	0.2
x-intercept	−0.93	0
Minimum	−0.92	−0.2
x-intercept	−0.91	0
Maximum	−0.9	0.2
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Minimum	−0.89	−0.2
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Maximum	−0.87	0.2
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Minimum	−0.86	−0.2
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Maximum	−0.81	0.2
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Maximum	−0.71	0.2
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Maximum	−0.65	0.2
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Maximum	−0.59	0.2
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Maximum	−0.56	0.2
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Maximum	−0.4	0.2
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Minimum	−0.38	−0.2
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Maximum	−0.37	0.2
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Minimum	−0.35	−0.2
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Maximum	−0.34	0.2
x-intercept	−0.33	0
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x-intercept	−0.31	0
Maximum	−0.31	0.2
x-intercept	−0.3	0
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x-intercept	−0.28	0
Maximum	−0.27	0.2
x-intercept	−0.27	0
Minimum	−0.26	−0.2
x-intercept	−0.25	0
Maximum	−0.24	0.2
x-intercept	−0.24	0
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Maximum	−0.18	0.2
x-intercept	−0.17	0
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x-intercept	−0.16	0
Maximum	−0.15	0.2
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Maximum	−0.12	0.2
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Minimum	−0.1	−0.2
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Maximum	−0.09	0.2
x-intercept	−0.08	0
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x-intercept	0	0
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Maximum	0.17	0.2
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Maximum	0.32	0.2
x-intercept	0.33	0
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Maximum	0.39	0.2
x-intercept	0.39	0
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Maximum	0.42	0.2
x-intercept	0.42	0
Minimum	0.43	−0.2
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Maximum	0.45	0.2
x-intercept	0.46	0
Minimum	0.46	−0.2
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Maximum	0.48	0.2
x-intercept	0.49	0
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x-intercept	0.5	0
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Maximum	0.54	0.2
x-intercept	0.55	0
Minimum	0.56	−0.2
x-intercept	0.57	0
Maximum	0.57	0.2
x-intercept	0.58	0
Minimum	0.59	−0.2
x-intercept	0.6	0
Maximum	0.61	0.2
x-intercept	0.61	0
Minimum	0.62	−0.2
x-intercept	0.63	0
Maximum	0.64	0.2
x-intercept	0.64	0
Minimum	0.65	−0.2
x-intercept	0.66	0
Maximum	0.67	0.2
x-intercept	0.68	0
Minimum	0.68	−0.2
x-intercept	0.69	0
Maximum	0.7	0.2
x-intercept	0.71	0
Minimum	0.72	−0.2
x-intercept	0.72	0
Maximum	0.73	0.2
x-intercept	0.74	0
Minimum	0.75	−0.2
x-intercept	0.75	0
Maximum	0.76	0.2
x-intercept	0.77	0
Minimum	0.78	−0.2
x-intercept	0.79	0
Maximum	0.79	0.2
x-intercept	0.8	0
Minimum	0.81	−0.2
x-intercept	0.82	0
Maximum	0.83	0.2
x-intercept	0.83	0
Minimum	0.84	−0.2
x-intercept	0.85	0
Maximum	0.86	0.2
x-intercept	0.86	0
Minimum	0.87	−0.2
x-intercept	0.88	0
Maximum	0.89	0.2
x-intercept	0.9	0
Minimum	0.9	−0.2
x-intercept	0.91	0
Maximum	0.92	0.2
x-intercept	0.93	0
Minimum	0.94	−0.2
x-intercept	0.94	0
Maximum	0.95	0.2
x-intercept	0.96	0
Minimum	0.97	−0.2
x-intercept	0.97	0
Maximum	0.98	0.2
x-intercept	0.99	0
Minimum	1	−0.2
x-intercept	1.01	0
Maximum	1.01	0.2
x-intercept	1.02	0
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x-intercept	1.04	0
Maximum	1.05	0.2
x-intercept	1.05	0
Minimum	1.06	−0.2
x-intercept	1.07	0
Maximum	1.08	0.2
x-intercept	1.08	0
Minimum	1.09	−0.2
x-intercept	1.1	0
Maximum	1.11	0.2
x-intercept	1.12	0
Minimum	1.12	−0.2
x-intercept	1.13	0
Maximum	1.14	0.2
x-intercept	1.15	0
Minimum	1.15	−0.2
x-intercept	1.16	0
Maximum	1.17	0.2
x-intercept	1.18	0
Minimum	1.19	−0.2
x-intercept	1.19	0
Maximum	1.2	0.2
x-intercept	1.21	0
Minimum	1.22	−0.2
x-intercept	1.23	0
Maximum	1.23	0.2
x-intercept	1.24	0
Minimum	1.25	−0.2
x-intercept	1.26	0
Maximum	1.26	0.2
x-intercept	1.27	0
Minimum	1.28	−0.2
x-intercept	1.29	0
Maximum	1.3	0.2
x-intercept	1.3	0
Minimum	1.31	−0.2
x-intercept	1.32	0
Maximum	1.33	0.2
x-intercept	1.34	0
Minimum	1.34	−0.2
x-intercept	1.35	0
Maximum	1.36	0.2
x-intercept	1.37	0
Minimum	1.37	−0.2
x-intercept	1.38	0
Maximum	1.39	0.2
x-intercept	1.4	0
Minimum	1.41	−0.2
x-intercept	1.41	0
Maximum	1.42	0.2
x-intercept	1.43	0
Minimum	1.44	−0.2
x-intercept	1.45	0
Maximum	1.45	0.2
x-intercept	1.46	0
Minimum	1.47	−0.2
x-intercept	1.48	0
Maximum	1.48	0.2
x-intercept	1.49	0
Minimum	1.5	−0.2
x-intercept	1.51	0
Maximum	1.52	0.2
x-intercept	1.52	0
Minimum	1.53	−0.2
x-intercept	1.54	0
Maximum	1.55	0.2
x-intercept	1.56	0
Minimum	1.56	−0.2
x-intercept	1.57	0
Maximum	1.58	0.2
x-intercept	1.59	0
Minimum	1.59	−0.2
x-intercept	1.6	0
Maximum	1.61	0.2
x-intercept	1.62	0
Minimum	1.63	−0.2
x-intercept	1.63	0
Maximum	1.64	0.2
x-intercept	1.65	0
Minimum	1.66	−0.2
x-intercept	1.67	0
Maximum	1.67	0.2
x-intercept	1.68	0
Minimum	1.69	−0.2
x-intercept	1.7	0
Maximum	1.7	0.2
x-intercept	1.71	0
Minimum	1.72	−0.2
x-intercept	1.73	0
Maximum	1.74	0.2
x-intercept	1.74	0
Minimum	1.75	−0.2
x-intercept	1.76	0
Maximum	1.77	0.2
x-intercept	1.78	0
Minimum	1.78	−0.2
x-intercept	1.79	0
Maximum	1.8	0.2
x-intercept	1.81	0
Minimum	1.81	−0.2
x-intercept	1.82	0
Maximum	1.83	0.2
x-intercept	1.84	0
Minimum	1.85	−0.2
x-intercept	1.85	0
Maximum	1.86	0.2
x-intercept	1.87	0
Minimum	1.88	−0.2
x-intercept	1.89	0
Maximum	1.89	0.2
x-intercept	1.9	0
Minimum	1.91	−0.2
x-intercept	1.92	0
Maximum	1.92	0.2
x-intercept	1.93	0
Minimum	1.94	−0.2
x-intercept	1.95	0
Maximum	1.96	0.2
x-intercept	1.96	0
Minimum	1.97	−0.2
x-intercept	1.98	0
Maximum	1.99	0.2
x-intercept	2	0
Minimum	2	−0.2
x-intercept	2.01	0

Step-by-step solution

2 steps

Here's the calculation for the wave parameters:

The general equation for a progressive wave is $y = A \sin \frac{2\pi}{\lambda} (Vt - x)$ .
The given wave equation is $y = 0.2 \sin \frac{2\pi}{19} (200t - 0.09)$ .
The problem states that $t$ is in seconds, implying standard SI units for other quantities.

Calculate the Amplitude ( $A$ ).
By comparing the given equation with the general form, the amplitude $A$ is the coefficient of the sine function.
$A = 0.2 \text{ m}$
Calculate the Wavelength ( $\lambda$ ).
By comparing the term

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Suppose a wave is represented by y = 0.2 sin (200t - 0.09). Calculate A, 03bb, V and t, where t is in Second.

Step-by-step solution

Calculate the Amplitude (AAA).

Calculate the Wavelength (λ\lambdaλ).

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Calculate the Amplitude ( $A$ ).

Calculate the Wavelength ( $\lambda$ ).