What is her average angular acceleration during this time interval? Answer in units of rad/s 2 .

Question

A figure skater begins spinning counterclockwise at an angular speed of 4.4 π rad/s. During a 4.0 s interval, she slowly pulls her arms inward and finally spins at 9.0 π rad/s. What is her average angular acceleration during this time interval? Answer in units of rad/s 2 .

Answer 1

Hi Christina,

According to the definition of average angular acceleration α

α=(ω_end-ω_start)/t=(9.0π/s-4.4π/s)/4.0s=(4.6π/s)/4s=1.15π/s²≈1.2π/s²

Hope it's helpful

Dr.Ariel B.

Answer 2

ε =(ω - ω₀)/t = (9π rad/s - 4.4π rad/s)/4s = 1.15π rad/s²