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A figure skater begins spinning counterclockwise at an angular speed of 4.0 π rad/s. During a 4.4 s interval, she slowly pulls her arms inward and finally spins at 7.8 T rad/s. What is her average angular acceleration
during this time interval?
Answer in units of rad/s².

1 Answer

6 votes

Answer:

0.86 rad/s² counterclockwise

Step-by-step explanation:

Average angular acceleration is change in angular velocity over time.

α = (ω − ω₀) / t

α = (7.8π rad/s − 4.0π rad/s) / 4.4 s

α = (3.8π / 4.4) rad/s²

α = 0.86 rad/s²

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