A potter’s wheel is a uniform circular disc of radius

PHYSICS · Subjective · AP · Physics C: Mechanics · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A potter’s wheel is a uniform circular disc of radius 0.40 m0.40\,\text{m}. A point on the rim is observed to move through a linear distance of 15 m15\,\text{m} along the circumference. (a) Calculate the angular displacement of the point in radians. (b) Express the angular displacement obtained in part (a) in (i) revolutions and (ii) degrees. (c) Explain, with reasoned arguments based on the relationship between arc length and angle, why the linear distance travelled along the circumference of a given wheel is directly proportional to the number of complete revolutions executed by the wheel.

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