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Question

A car is moving on a circular track of radius of 150m, and at some time, its speed is decreasing at a rate of 8m/s2. If the speed of the car at that instant was 30m/s, then the net acceleration of the car will be


A

10m/s2

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B

8m/s2

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C

14m/s2

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D

6m/s2

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Solution

The correct option is A

10m/s2


Step 1: Given

Translatory acceleration, aT=8m/s2

Radius, r=150m

Instant velocity, v=30m/s

Step 2: Formula used

Rotational acceleration is given by ar=v2r.

Step 3: Find the rotational acceleration

ar=v2r=302150=6m/s2

Step 4: Determine the net acceleration

a→=ar→2+aT→2=62+82=100=10m/s2

Therefore, option A is the correct option.


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