How Do You Calculate Angular Acceleration of a Wheel?

In summary, the 70cm diameter wheel accelerated uniformly from 160 rpm to 280 rpm in 4.00s. The angular acceleration was 30 rpm/s. The radial and tangential components of the linear acceleration of a point on the edge of the wheel were not determined.
  • #1
balletgirl
36
0

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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  • #2
The formula you used is fine, but more accurately:
[tex]\alpha = \frac{{\Delta}\omega}{{\Delta}t}[/tex]
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)
 

Related to How Do You Calculate Angular Acceleration of a Wheel?

1. What is angular acceleration of a wheel?

Angular acceleration of a wheel is a measure of how quickly the rotational speed of the wheel changes over time. It is typically measured in radians per second squared (rad/s^2) or degrees per second squared (deg/s^2).

2. How is angular acceleration related to linear acceleration?

Angular acceleration and linear acceleration are related through the radius of the wheel. The linear acceleration of a point on the wheel's rim is equal to the angular acceleration multiplied by the radius of the wheel.

3. What factors affect the angular acceleration of a wheel?

The angular acceleration of a wheel is affected by the torque applied to it, the mass and distribution of mass of the wheel, and the moment of inertia of the wheel. Friction and air resistance can also play a role in affecting angular acceleration.

4. How is angular acceleration measured?

Angular acceleration can be measured using a tachometer or by recording the change in rotational speed over a certain period of time. It can also be calculated by measuring the change in angular velocity and dividing it by the change in time.

5. What is the difference between angular acceleration and angular velocity?

Angular acceleration is a measure of how quickly the rotational speed of a wheel changes, while angular velocity is a measure of how fast the wheel is rotating at a given moment. Angular velocity is the first derivative of angular displacement, while angular acceleration is the first derivative of angular velocity.

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