How Do You Calculate Angular Acceleration and Revolutions of a Stopping Wheel?

[badula]

Homework Statement

A wheel is spinning at 800 rad/s. A torque is applied to the wheel until it stops spinning 14 seconds later. What is the angular acceleration, and how many revolutions did it go through?

v=800 read/s
t=14 s

Homework Equations

angular acceleration = delta w / delta t
1 revolution = 360 degrees = 2 pi rad

The Attempt at a Solution

delta w/delta t = 800/14 = 57.1 rads/s²

57.1 / 2 pi = 9.09 revolutions

 

[tiny-tim]

Welcome to PF!

Hi badula ! Welcome to PF!

(have a pi: π and a delta: ∆ and an omega: ω )

A wheel is spinning at 800 rad/s. A torque is applied to the wheel until it stops spinning 14 seconds later. What is the angular acceleration, and how many revolutions did it go through?

Hint: you can use the usual linear equations of motion for uniform acceleration …

it's just like a linear speed of 800 m/s, stopping after 14 s, but with rad instead of m.