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Chapter 10: Q59P (page 291)

An automobile crankshaft transfers energy from the engine to the axle at the rate of 100鈥塰辫(=74.6鈥塳奥) when rotating at a speed of 1800鈥塺别惫/min. What torque (in newton-meters) does the crankshaft deliver?

Short Answer

Expert verified

Torque delivered by the crankshaft is396鈥塏.尘 .

Step by step solution

01

Understanding the given information

  1. Power of an automobile crankshaft is,P=100鈥塰辫=74.6鈥塳奥=74600鈥塛.
  2. The speed is, f=1800鈥塺别惫/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=蟿蝇

03

Calculation for the torque the crankshaft delivers 

Frequency of the rotation of an automobile is

f=1800revmin脳1鈥尘颈苍60鈥塻=30鈥塺别惫/s

Angular speed ofan automobile is

蝇=2蟺蹿=2(3.142)(30鈥塺别惫/s)=188.52鈥塺补诲/s

Power of an automobile crankshaft is

P=蟿蝇蟿=P蝇=74600鈥塛188.52鈥塺补诲/s=395.71鈥塏.尘鈮�396鈥塏.尘

Therefore, the torque delivered by the crankshaft is 396鈥塏.尘.

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