- #1

mathdad

- 1,283

- 1

Let r = radius

See picture.

If r = 6 cm, R = 10 cm, and the angular speed of the larger wheel is 100 rpm, determine the angular speed of the smaller wheel in radians per minute.

Again, 1 revolution = 2 pi radians.

I need to use w = θ/t.

So, θ = 100 rpm • 2 pi radians.

θ = 200 pi radians

w = 200 pi radians/min, which is my answer.

At this point, I doubted that my answer is right because it did not take long to find w or omega representing the angular speed.

The book's answer is 1000/3 radians/min.

What did I forget to do?

View attachment 7910

See picture.

If r = 6 cm, R = 10 cm, and the angular speed of the larger wheel is 100 rpm, determine the angular speed of the smaller wheel in radians per minute.

Again, 1 revolution = 2 pi radians.

I need to use w = θ/t.

So, θ = 100 rpm • 2 pi radians.

θ = 200 pi radians

w = 200 pi radians/min, which is my answer.

At this point, I doubted that my answer is right because it did not take long to find w or omega representing the angular speed.

The book's answer is 1000/3 radians/min.

What did I forget to do?

View attachment 7910