Work, Energy, and Power14–56.A gear with a mass moment of inertia of 0.45 kg⋅m2 has a kinetic energy of rotation of 21 joules. What is its speed of rotation in rpm?14–63.Wheel A in Figure...

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Work, Energy, and Power 14–56. A gear with a mass moment of inertia of 0.45 kg⋅m2 has a kinetic energy of rotation of 21 joules. What is its speed of rotation in rpm? 14–63. Wheel A in Figure P14–63 weighs 200 lb and has a radius of gyration of 2 ft. If the system is initially at rest, determine the angular velocity of A after B has dropped 8 ft 14–64. Masses A and B in Figure P14–64 are fastened together by a belt over pulley D. (Assume no slipping of the belt.) The mass moment of inertia of pulley D is 15 kg⋅m2. How far does mass B drop before reaching a velocity of 2 m/s? The system is initially at rest. Impulse and Momentum 15–11. Determine the force required to bring an 8-ton truck traveling at 50 mph to rest in 5 seconds. How far does it travel? 15–17. The rotor of an electric motor turns at 1750 rpm, weighs 150 lb, and has a radius of gyration of 9.5 in. Determine (a) the angular momentum at 1750 rpm and (b) the torque required to slow the rotor to 800 rpm in 2 seconds. 15–32. A 4-kg rifle firing an 8-g bullet at 650 m/s obeys the law of conservation of momentum. Determine the recoil speed of the rifle. 15–43. Disc A in Figure P15–43 (IC = 8 kg ⋅ m2), while rotating at 100 rpm, is lowered onto disc B (IC = 10.5 kg ⋅ m2), causing the latter to rotate from rest. Assume no slipping and determine the angular velocity of B.
Answered Same DayFeb 23, 2023

Answer To: Work, Energy, and Power14–56.A gear with a mass moment of inertia of 0.45 kg⋅m2 has a kinetic...

Baljit answered on Feb 23 2023
49 Votes
Work, Energy, and Power
14–56.
A gear with a mass moment of inertia of 0.45 kg⋅m2 has a kinetic energy of rotation of 21 joules. Wha
t is its speed of rotation in rpm?
Answer:-
Given
Mass of Inertia ,IC= 0.45 kg⋅m2
Kinetic Energy of rotation, KE=21J
Now we know that
Kinetic Energy of Rotation is
So speed of rotation
=
66 rad/s
Now
So speed of rotation is 92.246 rpm.
14–63.
Wheel A in Figure P14–63 weighs 200 lb and has a radius of gyration of 2 ft. If the system is initially at rest, determine the angular velocity of A after B has dropped 8 ft
Answer:-
Given
Let v ft/s is velocity of B after it dropped 8 ft.
So the angular velocity is
Here r is radius of wheel i.e 3 ft.
So
Now radius of Gyration is k=2ft
So it moment of inertia
Now Weight of wheel W=200 lb
So mass of wheel
So
Moment of inertia
Potential Energy loss of B
Kinetic Energy KEB
Now Kinetic Energy gain of A is
Conservation of energy requires that loss of potential energy of B should be converted into kinetic energy gain of B and A.
So
Angular velocity of A is
So the Angular velocity of A is clockwise.
14–64.
Masses A and B in Figure P14–64 are fastened together by a belt over pulley D. (Assume no slipping of the belt.) The mass moment of inertia of pulley D is 15 kg⋅m2. How far does mass B drop before reaching a velocity of...
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