A 0.20-m radius grinding wheel starts at rest and develops an angular speed of 12.0 rad/s in 4.0 s.What is the average tangential acceleration of a point on the wheel's edge? A) 0.45 m/s² B) 0.60 m/s² C) 28 m/s² D) 14 m/s²

Question

Quizplus · Accepted Answer

We can use the formula for angular acceleration:

α = Δω/Δt

where α is the angular acceleration, Δω is the change in angular speed and Δt is the time taken.

Rearranging, we get:

Δω = αΔt

The tangential acceleration can be found using the formula:

at = rα

where r is the radius of the wheel.

So, we can substitute the given values and calculate:

Δω = 12.0 rad/s - 0 rad/s = 12.0 rad/s

Δt = 4.0 s

α = Δω/Δt = 3.0 rad/s^2

at = rα = 0.20 m × 3.0 rad/s^2 = 0.60 m/s^2

Therefore, the average tangential acceleration of a point on the wheel's edge is 0.60 m/s^2, which corresponds to choice B.

A 020-M Radius Grinding Wheel Starts at Rest and Develops an an Angular