This set of Farm Machinery Multiple Choice Questions & Answers (MCQs) focuses on “Mechanical Power Transmission – Belt Drive”.
1. In a belt drive, the mass of the belt is 10 kg/m and its speed is 6 m/s. The drive transmits 20 KW of power. Determine the initial tension in the belt and the strength of the belt. The co-efficient of friction is 0.25 and wrap angle is 220°.
a) 4096 N, 5762 N
b) 3096 N, 4762 N
c) 2096 N, 3762 N
d) 1096 N, 2762 N
View Answer
Explanation:
\(\frac{T1}{T2}\)=eμθ=\(e^{0.25*220*(\frac{\pi}{180})}\) = 2.611
T1 = 2.611 T2
P = (T1-T2)*v
20*1000 = (T1-T2) * 6
T1 – T2 = 3333.33
2.611 T2 – T2 = 3333.33
T2 = 2069.11 N
T1 = 5402.44 N
Initial Tension = \(\frac{T1+T2}{2}+Tc=\frac{5402.44+2069.11}{2}\)+360 = 4095.77 N
Strength of the belt = total tension on tight side = T1 + Tc = 5762.44 N.
2. Calculate the power transmitted by the belt and pulley arrangement, if tension on tight side of the belt is 50 kg and tension on slack side is 25 kg. The diameter and speed of driving pulley is 0.95 m and 350 rpm.
a) 3.97 KW
b) 4.97 KW
c) 6.97 KW
d) 5.97 KW
View Answer
Explanation: Power = (T1 – T2) * v
V = \(\frac{πDN}{60}=\frac{π*0.95*350}{60}\)=17.41 m/s
P = (490-147) * 17.41 = 5.97 KW.
3. A countershaft of engineering workshop is driven by electric motor with the help of canvas belt and pulley arrangement such that the speed of bet is 600 m/min and it transmits 50 KW. Find the difference between tension on either side of the belt.
a) 5 KN
b) 8 KN
c) 9 KN
d) 2 KN
View Answer
Explanation: P = (T1 – T2) * v
50 * 1000 = (T1 – T2) * 10
T1 – T2 = 5 KN.
4. Two pulleys are connected by a belt. The sum of the diameters of two pulleys is 90 cm and while the one makes 50 rpm, the other makes 20 rpm. Find the diameter of other pulley.
a) 63.29 cm
b) 53.29 cm
c) 64.29 cm
d) 54.29 cm
View Answer
Explanation: \(\frac{N1}{N2} = \frac{D2}{D1} \)
\(\frac{50}{20} = \frac{D2}{D1} \)
D2 = 2.5 D1
D1 + D2 = 90
D1 + 2.5 D1 = 90
D1 = 25.71 cm
D2 = 64.29 cm.
5. A V-belt operates at 25 m/s peripheral speed. The mass of the belt per unit length is 0.9 kg/m. The value of centrifugal tension in belt is ______
a) 592 N
b) 562.5 N
c) 973.6 N
d) 946 N
View Answer
Explanation: Tc = mv2 = 0.9 * 25 * 25
Tc = 562.5 N.
6. Determine the length of cross belt of connecting two pulleys 5 cm apart. The diameter of driving and driven pulleys are 1.25 m and 0.75 m respectively.
a) 1 m
b) 150 m
c) 13.34 m
d) 20 m
View Answer
Explanation:
L=2x+\(\frac{π}{2}\) (D1+D2)+\(\frac{(D1+D2)^2}{4x}\)=2*5+\(\frac{π}{2}\) (1.25+0.75)+\(\frac{(1.25+0.75)^2}{(4*5)} \)
L = 13.34 m.
7. While testing a wheat thresher at recommended throughout 80 Nm torque is recorded at 850 rpm at the main shaft of the threshing cylinder, which is operated by a 200-mm diameter pulley. The overload factor and unit mass of V-belt are 1.2 and 0.9 kg/m respectively. At condition of maximum power transfer the maximum tension in V-belt in N is __________
a) 813.86
b) 613.86
c) 413.86
d) 213.86
View Answer
Explanation:
v=\(\frac{πDN}{60}=\frac{π*0.2*850}{60}\)=8.90 m/s
Tc = mv2 = 0.9*(8.90)2 = 71.289 N
Tmax = 3Tc = 3*71.289 N.
8. A V-belt is used to transmit 5 KW at 17 m/s, the included angle of the belt is 38°, the density of the belt is 1.25 g/cm3, contact angle on smaller pulley is 150°, tension on the belt is adjusted by providing idlers. Find tension at tight and slack side of belt.
a) 300 N, 5 N
b) 400 N, 6 N
c) 500 N, 7 N
d) 600 N, 8 N
View Answer
Explanation:
P = (T1 – T2) * v
5000 = (T1 – T2) * 17
(T1 – T2) = 294.117
\(\frac{T1}{T2}=e^{\frac{μθ}{sinβ}} \)
\(\frac{T1}{T2}\) = e^[(0.5*150*(\(\frac{π}{180}\))/(sin19)]
\(\frac{T1}{T2}\)=55.73
T1 = 55.73 T2
55.73 T2 – T2 = 294.117
T2 = 5.38 N (slack side)
T1 = 299.82 N (tight side).
9. If a driven pulley is made at 350 rpm by a driving pulley of 0.3 m diameter running at 1400 rpm. Determine length of open belt when the pulleys are 4 meters apart.
a) 10.50 m
b) 10.40 m
c) 10.30 m
d) 10.20 m
View Answer
Explanation:
\(\frac{N2}{N1}=\frac{D1}{D2} \)
\(\frac{350}{1400}=\frac{0.3}{D2} \)
D2=\(\frac{0.3*1400}{350}\) = 1.2 m
L=2*4+\(\frac{π}{2} (0.3+1.2)+\frac{(0.3-1.2)^2}{4*4} \)
L = 10.40 m.
10. In a single V-belt drive having 30° groove angle, the cross-section area of belt is 350 mm2 and mass density of belt material is 1400 kg/m3. The maximum tension transmitted through the belt in kN is ________
a) 4.1
b) 3.1
c) 2.1
d) 1.1
View Answer
Explanation:
σmax = tension/area
Tension = σmax * area = 6000*1000*\(\frac{350}{1000000} \)
Tension = 2.1 KN.
11. V-belts are named because of __________
a) Their shape
b) Their cross section as V
c) Their size
d) Their direction of power transmission
View Answer
Explanation: V-belts are so named because they run over pulley having V-shaped grooves. V-belts have trapezoidal cross- section.
12. Quarter turn drive implies ________
a) Cross run
b) Open run
c) Run only in one direction
d) Do not run
View Answer
Explanation: Small pieces of belts are joined together to make a long belt. Belt pieces are joined either by fastening, stitching or connecting and in only one direction.
13. In case of V-belt the groove angle in small pullies is about _________
a) 32°
b) 42°
c) 62°
d) 22°
View Answer
Explanation: V-belt have V-shaped grooves and the angle between is known as groove angle. It varies from 32° in small pulleys to 40° in larger pulleys.
14. Speed cones are associated to ________
a) Pulley
b) Belt
c) Piston
d) Flywheel
View Answer
Explanation: speed cones are pulleys having several steps of different diameters. The belts move on these steps.
15. Slide rail is associated to ______
a) Completion of angle stroke
b) Detonation
c) Tightening of belt
d) Power transmission at 90° angle
View Answer
Explanation: Idler pulley, slide rail and tilting plate are three different devices for adjusting tension of the belts.
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