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Problem: A car is traveling around a horizontal circular track with radius r = 250 m at a constant speed v = 25 m/s as shown. The angle θA = 35° above the x axis, and the angle θB = 66° below the x axis.1) What is the magnitude of the car’s acceleration?2) What is the x component of the car’s acceleration when it is at point A3) What is the y component of the car’s acceleration when it is at point A4) What is the x component of the car’s acceleration when it is at point B5) What is the y component of the car’s acceleration when it is at point B6) As the car passes point B, the y component of its acceleration is? increasing or constant or decreasing?

FREE Expert Solution

Centripetal acceleration:

ac=v2r=rω2

1.

The magnitude of the car's acceleration is:

ac=v2r=252250

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Problem Details

A car is traveling around a horizontal circular track with radius r = 250 m at a constant speed v = 25 m/s as shown. The angle θA = 35° above the x axis, and the angle θB = 66° below the x axis.

1) What is the magnitude of the car’s acceleration?

2) What is the x component of the car’s acceleration when it is at point A

3) What is the y component of the car’s acceleration when it is at point A

4) What is the x component of the car’s acceleration when it is at point B

5) What is the y component of the car’s acceleration when it is at point B

6) As the car passes point B, the y component of its acceleration is? increasing or constant or decreasing?

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