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Chapter 5: Q3. (page 130)

Will the acceleration of a car be the same when a car travels around a sharp curve at a constant 60 km/h as when it travels around a gentle curve at the same speed? Explain.

Short Answer

Expert verified

The acceleration of a car will be different in both cases.

Step by step solution

01

Step 1. Given Data

The speed of the car is v=60km/h.

02

Step 2. Understanding centripetal acceleration

In this problem, if the car is moving with a constant speed on a sharp and gentle curve, then the difference in acceleration of the car will be determined by considering radius of the curve.

03

Step 3. Determining the acceleration of the car

The relation of centripetal acceleration is given by,

ac=v2r

Here, v is the speed of the car and r is the radius.

In the problem, it is mentioned that the car's speed is constant while traveling in both curves. When the vehicle is moving in a sharp curve, the radius will be smaller, and acceleration will be higher. On the contrary, the acceleration will be lower if the car is traveling in a gentle curve.

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Most popular questions from this chapter

A penny is placed on a turntable which is spinning clockwise as shown in Fig. 5鈥�37. If the power to the turntable is turned off, which arrow best represents the direction of the acceleration of the penny at point P while the turntable is still spinning but slowing down?

FIGURE 5-37MisConceptual Question 12.

A jet pilot takes his aircraft in a vertical loop (Fig. 5鈥�38).

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FIGURE 5-38 Problem 12.

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