A 1520 kg car rounds a 164m radius curved at a constant speed of 22.0 m/s. What is the centripetal acceleration of the car? What is the centripetal force acting on the car?
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what is the centripental acceleration of the car
To find the centripetal acceleration of the car, you can use the formula:
ac = v^2 / r
where ac is the centripetal acceleration, v is the velocity, and r is the radius of curvature.
In this case, the velocity (v) of the car is given as 22.0 m/s, and the radius (r) of the curved path is given as 164 m.
Substituting these values into the formula:
ac = (22.0 m/s)^2 / 164 m
ac ≈ 2.942 m/s^2
Therefore, the centripetal acceleration of the car is approximately 2.942 m/s^2.
Next, to find the centripetal force acting on the car, you can use the formula:
Fc = m * ac
where Fc is the centripetal force and m is the mass of the car.
The mass (m) of the car is given as 1520 kg, and the centripetal acceleration (ac) is 2.942 m/s^2.
Substituting these values into the formula:
Fc = 1520 kg * 2.942 m/s^2
Fc ≈ 4479.04 N
Therefore, the centripetal force acting on the car is approximately 4479.04 N.