I found the answers to these two problems: A figure skater completes a triple ax

Question

I found the answers to these two problems:

A figure skater completes a triple axle (3 complete rotations) in 0.65 seconds. Calculate the skater’s average angular velocity in degrees/sec.

A=1661.5

A figure skater completes a triple axle (3 complete rotations) in 0.65 seconds. Calculate the skater’s average angular velocity in radians/sec.

A=29.0

This is the question I need help with:

In the previous problem, if the skater manages to stop spinning in a time of 1.5s, what was the average angular acceleration during this period in degrees per second?

Explanation / Answer

It depends what units you want the final answer in. I'll assume radians/second (rad/s), later on convert it back to degree/sec.

Time elapsed = 0.65 sec
1 revolution = 2 radians (2 radians is the same as 360º)
3 revolutions = 3 x 2 = 18.84 rad

Angular velocity = (angle change) / time = 18.84 / 0.65 = 28.98 rad/s ~ 29rad/sec

Convert rad/s to deg/s, we get Angular velocity = 1661.5deg/s

Angular Displacement = 720/0.65 = 1107.69deg

Using the angular equivalent of:
d = 1/2at² <=> 1107.69= 1/2(1.5)² = 1107.69*2 = (1.5)²
6.7 = (0.5)(0.7444)²
= 984.6132 deg/s² ANS

Hope this helps :)

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.