Question

A wheel is rotating 600 times per minute. Through how many degrees does a point in the edge of the wheel move in 1/2 seconds.

Answer 1

The wheel is rotating 600 times per minute, find how many times rotate in 1 second:

1 minute = 60 seconds

`600(times)/(\min)\cdot(1\min)/(60s)=10(times)/(s)`

Then, if in 1 second it rotates 10 times in 1/2 seconds it rotates:

`(10(times)/(s))/(2)=5\text{times}`

Multiply the number of times it rotates (5 times) by 360 (a wheel has 360º)

`5\text{times}\cdot\frac{360º}{1\text{time}}=1800º`

Then, a point moves 1800º in 1/2 seconds