How Do You Calculate Angular Acceleration of a Wheel?

AI Thread Summary
To calculate the angular acceleration of a wheel with a diameter of 70 cm that accelerates from 160 rpm to 280 rpm in 4 seconds, the formula α = (ω2 - ω1) / t is used. The initial attempt yielded an angular acceleration of 30, but it is essential to convert the angular velocities from rpm to radians per second for accuracy. The average angular acceleration can be determined using the change in angular velocity over the time interval. Additionally, the radial and tangential components of linear acceleration can be calculated for a point on the wheel's edge 2 seconds after it starts accelerating. Proper unit specification and conversion are crucial for accurate results.
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Homework Statement


A 70cm diameter wheels accelerates uniformly from 160 rpm to 280 rpm in 4.00s.
Determine:
a) it's angular acceleration, and
b) the radial and tangential components of the linear acceleration of a point on the edge of the wheel 2.00s after it has started accelerating

a=?
w2= 280rpm
w1= 160rpm
t = 4.0s
d= .7m

Homework Equations



a = w2-w1 / t


The Attempt at a Solution



I used that equation for part a, with a= 280rpm - 160rpm /4.0s
and got a= 30 , but I don't feel that is right. Is there a better equation I could have used?
 
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The formula you used is fine, but more accurately:
\alpha = \frac{{\Delta}\omega}{{\Delta}t}
this gives average angular acceleration over the given time interval.

You need to specify units in your answer (and you'll find you want to convert it to more logical units)
 
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