Question

A wheel of a radius 8in is rotating 15degrees/sec. What is the linear speed, angular speed in rpm and angular speed in rads/sec?

Answer 1

2* pi radians = 360 degrees

rpm - rotation per minute

60 seconds in a minute

one rotation = 360 degres

Answer 2

so to convert 15degrees/sec would i multiply it by 2pi/360degrees?

Answer 3

then you would get radians per second

Answer 4

okay cool,then for rotations would it be 15deg/sec*60sec/min*2pi/360deg*(this is where i am stuck) do i convert it with 1rev/16pi in next?

Answer 5

actually it would be 16pi in/1 rev?

Answer 6

1 rotation = 360 degrees

technically you dont need to convert to radians
but if you did, you would use
1 rotation = 2 pi

Answer 7

oh cool. i was making that way harder than it was haha how would i find the linear velocity? i know its v=s/t, but how do i apply it to the problem?

Answer 8

my book give a bad definiton of linear velocity, can you please like explain what it is?

Answer 9

there is angular velocity, basically how fast something is spinning

then there is linear velocity, basically like a dot moving in a straight line
you can think of it like a car driving in a straight line and its speed is its linear velocity

now to convert angular velocity to linear velocity, you need to multiply the angular velocity by the radius

\[\omega r = v\]
where "w" also known as omega, is the angular velocity
r is radius
and v is linear velocity

Answer 10

did that help?

Answer 11

yes very much thank you