Question

A wheel is under a constant angular deceleration of 5 rad/second squared. Its initial speed is 3 rad/s. What is the angular distance before coming to rest?

a) 0.6 radians
b) 0.9 radians
c) 1.2 radians
d) 1.5 radians

Answer 1

The angular distance before coming to rest is b)0.9 radians.

Step-by-step explanation:

To find the angular distance before coming to rest, we can use the equation:

Δθ = ω22 - ω21 / 2α

where Δθ is the angular distance, ω2 is the final angular velocity, ω1 is the initial angular velocity, and α is the angular deceleration.

Plugging in the given values: Δθ = (0 - 32) / (2 * -5) = 9 / -10 = -0.9 radians.

However, since the question asks for the angular distance, we take the absolute value of -0.9 radians, which is 0.9 radians.

Therefore, the correct answer is 0.9 radians (b).