A wire of length 100 cm and diameter 4 mm is twisted by 30 degrees. Calculate the angular deflection.

May 30, 2026Physics

ScanSolve AI Answer

May 30, 2026

Answer

100 cm = 1 \text{ m}$.

Step 1: Identify the given values and the quantity to be found. The length of the wire is $L = 100 cm = 1 \text{ m}$ . The diameter of the wire is $d = 4 mm = 4 \times 10^{-3} \text{ m}$ . The radius of the wire is $r = \frac{d}{2} = \frac{4 \times 10^{-3} m}{2} = 2 \times 10^{-3} \text{ m}$ . The angle of twist at one end is $\theta = 30^\circ$ . We need to find the angular deflection (shear strain) of the wire.

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Quick Answer

Identify the given values and the quantity to be found. The length of the wire is L = 100 cm = 1 m.

Asked on May 30, 2026Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI AnswerAnswered on May 30, 2026

Step 1: Identify the given values and the quantity to be found. The length of the wire is L = 100 cm = 1 m. The diameter of the wire is d = 4 mm = 4 × 10^-3 m. The radius of the wire is r = (d)/(2) = 4 × 10^-3 m2 = 2 × 10^-3 m. The angle of twist at one end is = 30^. We need to find the angular deflection (shear strain) of the wire.