- #1
MathewsMD
- 433
- 7
I ma having a little bit of trouble distinguishing radial and tangential acceleration.
For example:
The magnitude of the acceleration of a point on a spinning wheel is increased by a factor of 4 if:
A. the magnitudes of the angular velocity and the angular acceleration are each multiplied by a factor of 4
B. the magnitude of the angular velocity is multiplied by a factor of 4 and the angular accel- eration is not changed
C. the magnitudes of the angular velocity and the angular acceleration are each multiplied by a factor of 2
D. the magnitude of the angular velocity is multiplied by a factor of 2 and the angular accel- eration is not changed
E. the magnitude of the angular velocity is multiplied by a factor of 2 and the magnitude of the angular acceleration is multiplied by a factor of 4
ans: E
But if ar = v2/r = ω2r so if angular velocity is multiplied by a factor of 2, this works. But, doesn't αt = ω? So a = α2t2r is also valid, right? Therefore, 2 is also the factor the angular acceleration should be multiplied.
I realize a = αr, but isn't this tangential acceleration and isn't the question assessing radial acceleration?
Any help in differentiating the two types of acceleration would great! Thank you :)
For example:
The magnitude of the acceleration of a point on a spinning wheel is increased by a factor of 4 if:
A. the magnitudes of the angular velocity and the angular acceleration are each multiplied by a factor of 4
B. the magnitude of the angular velocity is multiplied by a factor of 4 and the angular accel- eration is not changed
C. the magnitudes of the angular velocity and the angular acceleration are each multiplied by a factor of 2
D. the magnitude of the angular velocity is multiplied by a factor of 2 and the angular accel- eration is not changed
E. the magnitude of the angular velocity is multiplied by a factor of 2 and the magnitude of the angular acceleration is multiplied by a factor of 4
ans: E
But if ar = v2/r = ω2r so if angular velocity is multiplied by a factor of 2, this works. But, doesn't αt = ω? So a = α2t2r is also valid, right? Therefore, 2 is also the factor the angular acceleration should be multiplied.
I realize a = αr, but isn't this tangential acceleration and isn't the question assessing radial acceleration?
Any help in differentiating the two types of acceleration would great! Thank you :)