Homework Soursea wheel with an 18inch radius that is turning at 10 revoluti
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?
Solution
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
