A bicycle wheel of radius is rotating at while it slows down with a constant angular…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A bicycle wheel of radius

0.35\,\text{m}

is rotating at

12\,\text{rad/s}

while it slows down with a constant angular deceleration of

3.0\,\text{rad/s}^2

. What is the magnitude of the total linear acceleration of a point on the wheel’s rim at this instant? (a)

51.5\,\text{m/s}^2

(b)

50.4\,\text{m/s}^2

(c)

1.05\,\text{m/s}^2

(d)

49.4\,\text{m/s}^2