Question

A 3225 kg car travels at 28 m/s around a curve that has a radius of 1.25 km. What is the centripetal acceleration of the car?

a) 0.0017 m/s^2
b) 0.17 m/s^2
c) 1.7m/s^2
d) 17 m/s^2

Answer 1

The centripetal acceleration of the car is calculated using the formula ac = v^2 / r, which yields a value of 0.6272 m/s^2, not matching any of the provided options. Double-checking values and units is recommended due to the discrepancy.

Step-by-step explanation:

This asked about the centripetal acceleration of a car traveling at 28 m/s around a curve with a radius of 1.25 km. To calculate centripetal acceleration (ac), we use the formula ac = v^2 / r, where v is the velocity of the car and r is the radius of the curve. Plugging the given values into the formula: ac = (28 m/s)^2 / (1.25 km × 1000 m/km) = 784 m^2/s^2 / 1250 m = 0.6272 m/s^2. This value does not match any of the options provided, so it's possible there may be a typo in the provided options or in the student's question. Make sure to double-check the values and units.