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  • A car is moving with a speed of 30 m/s on a circular path of radius 500m. Its speed is increasing at the rate of <img alt="2 m/s^2" src="http://entrancecorner.oncodecogs.com/gif.latex?2%20m/s%

A car is moving with a speed of 30 m/s on a circular path of radius 500m. Its speed is increasing at the rate of 2 m/s^2. What is the acceleration (in m/s2 ) of the car?

Option: 1

2.7


Option: 2

2


Option: 3

1.8


Option: 4

9.8


Answers (1)

best_answer

\\ \text{Given}:\\ \text{Tangential acceleration},(a_{t})=2 \ m/s^{2} \\ \text{Centripetal acceleration},(a_{c})=\frac{v^{2}}{r} =\frac{900}{500}=1.8 \ m/s^{2}\\\\ \therefore \text{Net acceleration },(a)=\sqrt{(a_{t})^{2}+(a_{c})^{2}}\\\\ \text{} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ a =\sqrt{(2)^{2}+(1.8)^{2}}= 2.7 \ m/s^{2}

Posted by

vishal kumar

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