On a flat, level road, a 1500-kilogram car travels around a curve having a constant radius of 45 meters. The centripetal acceleration of the car has a constant magnitude of 3.2 meters per second squared. Calculate the car's speed as it travels around the curve

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Answer:

Speed of the car around the circular path will be 12 m/sec

Explanation:

We have given mass of the car m = 1500 kg

Radius of the curve r = 45 m

Centripetal acceleration of the car [tex]a=3.2m/sec^2[/tex]

We have to find the speed of the car

We know that centripetal acceleration is given by [tex]a=\frac{v^2}{r}[/tex], here v is car speed along the circular path and r is radius of the curve

So [tex]3.2=\frac{v^2}{45}[/tex]

[tex]v^2=144[/tex]

v = 12 m/sec

So speed of the car around the circular path will be 12 m/sec

The car's speed as it travels around the curve is 12m/sec.

Given that,

  • On a flat, level road, a 1500-kilogram car travels around a curve having a constant radius of 45 meters.
  • The centripetal acceleration of the car has a constant magnitude of 3.2 meters per second squared.

Based on the above information, the calculation is as follows:

[tex]3.2 = v^2 \div 45\\\\v^2 = 144[/tex]

v = 12

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