Question

if a skater is rotating a spin at a constant angular velocity at 2.5 rad/s for 1.1s, what is the angular acceleration?

Answer 1

0rad/s2

Answer 2

0 acceleration

Answer 3

[AI-generated answer — Explain Bot]

To find the angular acceleration, we need to first determine the change in angular velocity. The angular acceleration is defined as the rate at which the angular velocity changes over time.

Given:
Initial angular velocity (ω_i) = 0 rad/s (since the skater starts rotating with an initial velocity of 0)
Final angular velocity (ω_f) = 2.5 rad/s
Time (t) = 1.1 s

The formula to calculate the angular acceleration (α) is:

α = (ω_f - ω_i) / t

Substituting the values we have:

α = (2.5 rad/s - 0 rad/s) / 1.1 s

Simplifying:

α = 2.5 rad/s / 1.1 s

Calculating:

α ≈ 2.273 rad/s²

Therefore, the angular acceleration of the skater's spin is approximately 2.273 rad/s².