Question

A bicyclist starting at rest produces a constant angular accelerabion of 2.70 rad/s²

for wheels that are of 34.0 cm in radius. What is the bicyclist's linear acceleration?

Answer 1

The bicyclist's linear acceleration is calculated using the relationship between angular acceleration and linear acceleration, resulting in a linear acceleration of 0.918 m/s².

Step-by-step explanation:

The bicyclist's linear acceleration can be determined using the relationship between angular acceleration and linear acceleration, which is given by the equation α = r x α, where 'a' is the linear acceleration, 'r' is the radius of the wheel, and 'α' is the angular acceleration. Given that the angular acceleration (α) is 2.70 rad/s² and the radius of the wheel (r) is 34.0 cm (or 0.34 m), the linear acceleration (a) can be calculated as follows:

a = r x α
a = 0.34 m x 2.70 rad/s²
a = 0.918 m/s²

Therefore, the linear acceleration of the bicyclist is 0.918 m/s².