a wheel f diameter 32 cm spins at 140 m.p.h. What is the angular velocity in radians per second? What is the linear velocity of a point on the rim of the wheel? answer in inches per second.
So the radius = 32/2 = 16cm
Converting 16cm to inches we have
16/(2.54cm) = about 6.3in
And the number of inches the wheel spins through in 1 second =
140m/hr x 1hr/3600sec x 5280ft/1mi x 12in/1ft = 2464 in/ sec....this is the linear velocity
So, rhe angular velocity is.....
s = rΘ
2464in/sec = (6.3in)Θ divide both sides by 6.3
About 391.1 rads/sec
So the radius = 32/2 = 16cm
Converting 16cm to inches we have
16/(2.54cm) = about 6.3in
And the number of inches the wheel spins through in 1 second =
140m/hr x 1hr/3600sec x 5280ft/1mi x 12in/1ft = 2464 in/ sec....this is the linear velocity
So, rhe angular velocity is.....
s = rΘ
2464in/sec = (6.3in)Θ divide both sides by 6.3
About 391.1 rads/sec