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Question: A rope brake is fitted to a flywheel of diameter = 1m. The flywheel runs at 220 r. p. m. It is requi...

A rope brake is fitted to a flywheel of diameter = 1m. The flywheel runs at 220 r. p. m. It is required to absorb 5.25 kW of brake power. Difference in the two pulls (T - S) is

A

456 N

B

654 N

C

564 N

D

465 N

Answer

456 N

Explanation

Solution

Here Brake power = (TS)(2πR)N60,000 kW\frac { ( \mathrm { T } - \mathrm { S } ) ( 2 \pi \mathrm { R } ) \mathrm { N } } { 60,000 } \mathrm {~kW}

or (T - S) = 6000× Brake power 2πRN\frac { 6000 \times \text { Brake power } } { 2 \pi \mathrm { RN } } = 6000×5.252π×0.5×220\frac { 6000 \times 5.25 } { 2 \pi \times 0.5 \times 220 }

= 455.8N ~ 456N