Dynamics of Machines Questions and Answers Part-12

1. Coefficient of steadiness is reciprocal of coefficient of fluctuation of speed.
a) True
b) False

Answer: a
Explanation: Coefficient of steadiness is defined as the ratio of mean speed to the ratio of maximum fluctuation of speed, hence it is the reciprocal of coefficient of fluctuation of speed.

2. If the minimum speed of the engine is half the maximum speed, then coefficient of fluctuation is _____
a) 0.5
b) 1.5
c) 2
d) 0.66

Answer: d
Explanation:Let N be the maximum speed, then minimum speed is N/2
mean speed = (N+N/2)/2 = 3N/4
Maximum fluctuation = N – N/2 = N/2
therefore coefficient of fluctuation = 2/3 = 0.66.

3. If the mean speed is 3/4th of the maximum speed, the coefficient of steadiness is ______
a) 4/3
b) 3/2
c) 3/4
d) 1

Answer: b
Explanation: Let N be the mean speed and N1 and N2 be the maximum and minimum speed respectively,
given N=3N1/4 , N1 = 4N/3
also N = (N1+N2)/2
N = 2N/3 + N2/2 : N2 = 2N/3
maximum fluctuation = N1– N2 = 4N/3 – 2N/3 = 2N/3
mean speed = N
therefore coefficient of steadiness = N/(2N/3)
= 3/2.

4. The moment of inertia of a flywheel is 6500 kg-m2, from the turning moment diagram, it is found that fluctuation of energy is 56000 N-m, if mean speed is 120 rpm, then find maximum speed.
a) 121
b) 119
c) 122
d) 118

Answer: a
Explanation: We know that ΔE= I ω2. Cs
= I ω. (ω12)
= 6500. 120x(2π/60)2( N1– N2)
N1– N2 = 2
N=120
Therefore, N1=121.

5. The moment of inertia of a flywheel is 6500 kg-m2, from the turning moment diagram, it is found that fluctuation of energy is 56000 N-m, if mean speed is 120 rpm, find the minimum speed.
a) 121
b) 119
c) 122
d) 118

Answer: b
Explanation: We know that ΔE = I ω2. Cs
= I ω. (ω12)
= 6500. 120x(2π/60)2(N1– N2)
N1– N2 = 2
N=120
Therefore, N2=119.

6. In order to reduce the heavy weight of the flywheel which of the following mechanical component is used?
a) Bearings
b) Shaft
c) Gears
d) Engine

Answer: c
Explanation: The mass of the flywheel depends on the velocity at which it rotates, the velocity can be moderated by installing a set of gears. This results in reduction of mass of flywheel.

7. The main function of a flywheel is to cause variations in the speed of a shaft caused by torque fluctuations.
a) True
b) False

Answer: b
Explanation: The primary function of a fly wheel is to smoothen out variations in the speed of a shaft caused by torque fluctuations, this is basically to lessen the fluctuations of the torque. If the source of the driving torque or load torque is fluctuating in nature, then a flywheel is used.

8. When the flywheel absorbs energy, its speed ________
a) Remains unaffected
b) Increases
c) Decreases
d) Goes down to 0

Answer: b
Explanation: When a flywheel absorbs energy, its speed increases and when it gives up energy, its speed decreases. This effect is reflected in the turning moment diagram of the flywheel.

9. For a multicylinder engine, the moment of inertia of a flywheel is 6500 kg-m2, from the turning moment diagram, it is found that fluctuation of energy is 56000 N-m, if mean speed is 120 rpm, then find maximum speed.
a) 121
b) 119
c) 122
d) 118

Answer: a
Explanation: We know that ΔE= I ω2. Cs
= I ω. (ω12)
= 6500. 120x(2π/60)2(N1-N2)
N1-N2 = 2
N=120
Therefore, N1=121.

10. Multi cylinder engines are usually placed at an equal inclination to each other.
a) True
b) False

Answer: a
Explanation: In case of multi cylinder engines, the cylinders are placed in such a way that the performance of the engine is optimum hence placing them at equal inclination improves the performance.