Question

A bicyclist starting at rest produces a constant angular acceleration of 2.10 rad/s2 for wheels that are 31.0 cm in radius. What is the bicyclist's linear acceleration?m/s2

Answer 1

The linear acceleration of the bicyclist is 0.651 m/s^2.

Step-by-step explanation:

The linear acceleration of the bicyclist can be found using the formula:

linear acceleration = angular acceleration x radius

Given that the angular acceleration is 2.10 rad/s2 and the radius of the wheels is 31.0 cm, we can substitute these values into the equation to find the linear acceleration:

linear acceleration = 2.10 rad/s2 x 31.0 cm = 65.10 cm/s2

However, it is important to note that the answer should be in meters per second squared (m/s2). To convert cm/s2 to m/s2, we divide by 100:

linear acceleration = 65.10 cm/s2 ÷ 100 = 0.651 m/s2