A car is traveling around a horizontal circular track with radius r = 180 m at a

Question

A car is traveling around a horizontal circular track with radius r = 180 m at a constant speed v = 22 m/s as shown. The angle ?A = 15? above the x axis, and the angle ?B = 63? below the x axis.

1)

What is the magnitude of the car?s acceleration?

m/s2

2)

What is the x component of the car?s acceleration when it is at point A

m/s2

3)

What is the y component of the car?s acceleration when it is at point A

m/s2

4)

What is the x component of the car?s acceleration when it is at point B

m/s2

5)

What is the y component of the car?s acceleration when it is at point B

m/s2

6)

As the car passes point B, the y component of its acceleration is

increasing

constant

decreasing

Explanation / Answer

1) a = v^2/r = (22*22)/180 = 2.69 m/s^2

2) ax = -a*cos15 = -2.59 m/s^2

3) ay = -a*sin15 = -0.696 m/s^2

4) ax = -a*cos63 = -1.22 m/s^2

5)ay = + a*sin63 = 2.39 m/s^2

6) decreasing

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