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a wheel with an 18-inch radius that is turning at 10 revolutions per second. a)

ID: 3423753 • Letter: A

Question

a wheel with an 18-inch radius that is turning at 10 revolutions per second. a) what is the linear velocity of a point on the rim in feet per minute? b) what is the angular velocity of a point on the rim in radians per minute? a wheel with an 18-inch radius that is turning at 10 revolutions per second. a) what is the linear velocity of a point on the rim in feet per minute? b) what is the angular velocity of a point on the rim in radians per minute? a) what is the linear velocity of a point on the rim in feet per minute? b) what is the angular velocity of a point on the rim in radians per minute?

Explanation / Answer

a) linear velocity = angular vel. x radius

angular vel. = 10 x 2pi rad/sec

radius = 18 inch

linear velocity = 10 x2pi x 18 = 1130.97 inch/sec

1 inch/sec= 5 ft/min

So, linear velocity = 1130.97 *5 = 5654.87 ft/min

b) Anular velocity = 10*2pi rad/sec =62.83 rad/sec.

=62.83*60 = 3769.9 rad/min