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 Answer
18. A wheel and axle have radii 80cm and 10 cm respectively. If the efficiency of the machine is 0.85, what load will an applied force of 1200N to the wheel raise? Given: Wheel radius R_W = 80 cm = 0.8 m Axle radius R_A = 10 cm = 0.1 m Efficiency = 0.85 Applied force (Effort) F_E = 1200 N Step 1: Calculate the Velocity Ratio (VR). The velocity ratio for a wheel and axle is the ratio of the wheel's radius to the axle's radius. VR = (R_W)/(R_A) VR = 0.8 m0.1 m = 8 Step 2: Calculate the Mechanical Advantage (MA). The efficiency of a machine is given by the ratio of its mechanical advantage to its velocity ratio. = (MA)/(VR) Rearrange to solve for MA: MA = × VR MA = 0.85 × 8 MA = 6.8 Step 3: Calculate the Load (F_L). The mechanical advantage is also defined as the ratio of the load to the effort. MA = (F_L)/(F_E) Rearrange to solve for F_L: F_L = MA × F_E F_L = 6.8 × 1200 N F_L = 8160 N The load that an applied force of 1200 N will raise is 8160 N.