1) An object is rotating at a constant angular speed of 33 revmin. 6)A mass of 5
ID: 1780108 • Letter: 1
Question
1) An object is rotating at a constant angular speed of 33 revmin. 6)A mass of 5 kg is resting on a frictioniess ramp. It is connected to a cable that passes over a pulley of radius 2 cm which is then attached to a second hanging mass The system is moving at a constant velocity. (a) Calculate the mass of the hanging block (b) If the blocks move 1.5 m in 3 seconds what is the angular velocity of the pulley? (a) What is its angular speed in rad/s? (b) Through what angie, in radians, does it rotate in 1.5 s? 2) A machine rotates at an angular velocity of 1.6 rad/s. Its velocity is then increased to 6.2 rad/s at an angular acceleration of 0.7 rad/s?. (a) How many revolutions does it make during its acceleration? (b) How long does the acceleration take? 3) A dentist's drill starts from rest and after 3.2 s it has an angular velocity of 2.51 x 10* rev/min. (a) Find the angular acceleration of the drill. (b) Calculate the angle through which the drill rotates. 7) A mass of 8 kg is resting on a horizontal table with a coefficient of kinetic friction of 0.35. The mass is connected to a cable that passes over a pulley of mass 3.5 lg and radius 21 cm. The other end of the cable is attached to a second hanging mass of 15 kg. The system is released from rest. (a) Calculate the acceleration of the system. (b) How many times does the pulley rotate in 2 seconds? 4) Mike is riding his unicycie of wheel diameter 20 in. Mike rides for 30 m with an initial angular velocity of 0.75 rads and an acceleration of 1.2 rad/s2. (a) How long does it take to ride the 30 m? (b) What is the unicycle's linear velocity at 30 m? 5) A merry-go-round of mass 150 kg and radius 1.5 m is set in motion by a rope that has been wrapped around it. Calculate the constant force that you would have to apply to the rope in order for the merry-go-round to start from rest and achieve an angular velocity of 0.5 rev/s in 2 s.Explanation / Answer
ACCORDING TO THE CHEGG GUIDELINES I AM ALLOWED TO ANSWER ONLY (FIRST ) ONE QUESTION AT A TIME.
1) angular speed in rad/s = 2 * 3.14 * 33 rev/min = 3.454 rad/s ========ANSWER)
radians = angular speed *time = 3.454 rad/s * 1.50 s = 5.1810 rad ========ANSWER)
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