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?
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2* pi radians = 360 degrees
rpm - rotation per minute
60 seconds in a minute
one rotation = 360 degres
so to convert 15degrees/sec would i multiply it by 2pi/360degrees?
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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?
actually it would be 16pi in/1 rev?
1 rotation = 360 degrees
technically you dont need to convert to radians
but if you did, you would use
1 rotation = 2 pi
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?
my book give a bad definiton of linear velocity, can you please like explain what it is?
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