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An automobile crankshaft transfers energy from the engine to the axle at the rate of 100 h±è(=74.6 k°Â) when rotating at a speed of 1800 r±ð±¹/min. What torque (in newton-meters) does the crankshaft deliver?

Short Answer

Expert verified

Torque delivered by the crankshaft is396 N.³¾ .

Step by step solution

01

Understanding the given information

  1. Power of an automobile crankshaft is,P=100 h±è=74.6 k°Â=74600 W.
  2. The speed is, f=1800 r±ð±¹/min.
02

Concept and formula used in the given question

You can find thetorque delivered by the crankshaft using the relation between torque, power, and angular speed.

P=τӬ

03

Calculation for the torque the crankshaft delivers 

Frequency of the rotation of an automobile is

f=1800revmin×1″¾¾±²Ô60 s=30 r±ð±¹/s

Angular speed ofan automobile is

Ó¬=2Ï€´Ú=2(3.142)(30 r±ð±¹/s)=188.52 r²¹»å/s

Power of an automobile crankshaft is

P=τӬτ=PÓ¬=74600 W188.52 r²¹»å/s=395.71 N.³¾â‰ƒ396 N.³¾

Therefore, the torque delivered by the crankshaft is 396 N.³¾.

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