Two wheels roll side-by-side without sliding, at the same speed. The radius of wheel 2 is one-half (1/2) the radius of wheel 1. The angular velocity of wheel 2 is:

Question

asked Jan 9, 2021 179k views

1 Answer

Joshvito · Answer 1 · 2021-01-14T10:03:10+0000

Answer:

w'=(1/2)w

Step-by-step explanation:

In order to calculate the angular velocity of the second wheel, you use the following formula:

$\omega=(v)/(r)$ (1)

v: speed of the wheel 1 = speed of the wheel 2

r: radius of the wheel 1

For the second wheel you have:

r'=2r

You replace this value of r' in the following equation:

$\omega'=(v)/(r')=(v)/(2r)=(1)/(2)(v)/(r)=(1)/(2)\omega\\\\\omega'=(1)/(2)\omega$

The angular velocity of the second wheel is one half of the angular velocity of the first wheel