1.

For a single cylinder reciprocating engine speed is 500 rpm, stroke is 150 mm, mass. of reciprocating parts is 21 kg; mass of revolving parts is 15 kg at crank radius. If twothirds of reciprocating masses and all the revolving masses are balanced, the mass at a radius of 150 mm will be (a) 7.5 kg (b) 10.5 kg (c) 12.5 kg (d) 14.5 kg

Answer»

Correct option is (d) 14.5 kg

N = 500 rpm

ω = \(\cfrac{2\pi\times 500}{60}\) 

= 52.3598 rad/s

r = \(\cfrac{150}2\) mm

= 75 mm = 0.075 meter

mreci = 21 kg 

mrot = 15 kg 

b = 150 mm = 0.150 meter 

B = ?

Mass to be balanced = 2/3 Rotating+ Reciprocating

\(\left({15+\cfrac23\times21}\right)\) 

= 15 + 14 = 29 kg

Total mass to be balanced 

m = 29 kg 

mrω2 = B·b·ω2 

29 × 0.075 = B × 0.150

B = \(\cfrac{29\times0.075}{0.150}\) Kg

B = 14.5 kg



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