Briefly explain the following mechanical terms: Force Weight Tension A motor is

Question

Briefly explain the following mechanical terms: Force Weight Tension A motor is used to rotate a ball attached to a rope in a vertical plane. The mass of the ball is 2kg and the length of the rope is 3m. Ignoring air resistance and the mass of the rope, calculate:- The minimum motor speed in revs per minute(rpm) that will maintain the ball in a circular motion. The total energy of the ball at the top of the circle. The speed of rotation is increased until the rope breaks. If the breaking tension is 1981.62 N at the point of greatest tension free. The rotational speed of the motor in rpm.

Explanation / Answer

a. Force: a force is any influence that causes an object to undergo a change in speed, a change in direction, or a change in shape. F = ma Weight: the weight of an object is the force on the object due to gravity. W= mg Tension: tension is the magnitude of the pulling force exerted by a string, cable, chain, or similar object on another object. It is the opposite of compression. b. minimum speed= v we have, mg = mv^2/R speed = v = (Rg)^0.5 = (3 x 9.8)^0.5 = 5.42 m/s Energy = 0.5mv^2 = 29.4 J c. at bottom, T = mg + mv^2/R 1981.62 = 2 x 9.8 + 2 x v^2/3 speed = v = 54.25 m/s ROtational speed= w = v/R = 18.083 rad/s = 172.68 rpm

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