Question

A 900 kg race car makes one lap around a track of radius 50 m in 11.0 s. How to you get the average speed? What is the car's angular speed? What is the centripetal force acting on the car?

Answer 1

Answer:

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Answer 2

To calculate the average speed of the car, we can use the formula:

Average speed = total distance traveled / total time taken

• In this case, the car travels one lap around a circular track with a radius of 50 m. The total distance traveled by the car is equal to the circumference of the circle, which is given by:

C = 2πr = 2 x π x 50 = 100π m

• The total time taken by the car to complete one lap is given as 11.0 seconds. Therefore, the average speed of the car is:

Average speed = 100π m / 11.0 s ≈ 28.68 m/s

• To calculate the car's angular speed, we can use the formula:

Angular speed = linear speed / radius

• The linear speed of the car is equal to the average speed calculated above, i.e. 28.68 m/s. Therefore, the angular speed of the car is:

Angular speed = 28.68 m/s / 50 m ≈ 0.5736 rad/s

• Finally, to calculate the centripetal force acting on the car, we can use the formula:

Centripetal force = mass x acceleration

• The acceleration of the car is given by the formula:

Acceleration = (linear speed)^2 / radius

• Substituting the values, we get:

Acceleration = (28.68 m/s)^2 / 50 m ≈ 16.41024 m/s^2

• Therefore, the centripetal force acting on the car is:

Centripetal force = 900 kg x 16.41024 m/s^2 ≈ 14,769.22 N

In conclusion, the average speed of the car is 28.68 m/s, its angular speed is 0.5736 rad/s, and the centripetal force acting on the car is approximately 14,769.22 N.

For more questions on Centripetal force

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