Question

points a and b have the same linear (tangential) velocity. true false

Explanation:

Step1: Recall the formula for linear velocity

The formula for linear (tangential) velocity is \(v = r\omega\), where \(r\) is the radius from the axis of rotation and \(\omega\) is the angular velocity.

Step2: Analyze the radii of points A and B

Assuming the wheel is rotating about its center, point A is at a larger radius (\(r_A\)) than point B (\(r_B\)), i.e., \(r_A>r_B\). The angular velocity \(\omega\) is the same for all points on a rigid rotating body.

Step3: Compare the linear velocities

Since \(v = r\omega\) and \(\omega\) is constant, \(v_A=r_A\omega\) and \(v_B = r_B\omega\). Because \(r_A>r_B\), we have \(v_A>v_B\).

Answer:

False