Chapter 10: Q59P (page 291)

An automobile crankshaft transfers energy from the engine to the axle at the rate of $100 hp (= 74 .6 kW)$ when rotating at a speed of $1800 rev / min$ . What torque (in newton-meters) does the crankshaft deliver?

Short Answer

Expert verified

Torque delivered by the crankshaft is $396 N.m$ .

Step by step solution

Understanding the given information

Power of an automobile crankshaft is, $P = 100 hp = 74.6 kW = 74600 W$ .
The speed is, $f = 1800 rev / min$ .

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.

$P = τω$

Calculation for the torque the crankshaft delivers

Frequency of the rotation of an automobile is

$\begin{matrix} f = 1800 \frac{rev}{min} \times \frac{1 min}{60 s} \\ = 30 rev / s \end{matrix}$

Angular speed ofan automobile is

$\begin{matrix} ω = 2 πf \\ = 2 (3.142) (30 rev / s) \\ = 188.52 rad / s \end{matrix}$

Power of an automobile crankshaft is

$\begin{matrix} P = τω \\ τ = \frac{P}{ω} \\ = \frac{74600 W}{188.52 rad / s} \\ = 395.71 N.m \\ ≃ 396 N.m \end{matrix}$

Therefore, the torque delivered by the crankshaft is $396 N.m$ .

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An automobile crankshaft transfers energy from the engine to the axle at the rate of $100 hp (= 74 .6 kW)$ when rotating at a speed of $1800 rev / min$ . What torque (in newton-meters) does the crankshaft deliver?

Short Answer

Step by step solution

Understanding the given information

Concept and formula used in the given question

Calculation for the torque the crankshaft delivers

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An automobile crankshaft transfers energy from the engine to the axle at the rate of 100 hp(=74.6 kW) when rotating at a speed of 1800 rev/min. What torque (in newton-meters) does the crankshaft deliver?

Short Answer

Step by step solution

Understanding the given information

Concept and formula used in the given question

Calculation for the torque the crankshaft delivers

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electricity and Magnetism

Energy Physics

Dynamics

Circular Motion and Gravitation

Geometrical and Physical Optics

Kinematics Physics

Study anywhere. Anytime. Across all devices.

An automobile crankshaft transfers energy from the engine to the axle at the rate of $100 hp (= 74 .6 kW)$ when rotating at a speed of $1800 rev / min$ . What torque (in newton-meters) does the crankshaft deliver?