A car is traveling around a horizontal circular track with radius r = 160 m at a

Question

A car is traveling around a horizontal circular track with radius r = 160 m at a constant speed v = 21 m/s as shown. The angle ?A = 33° above the x axis, and the angle ?B = 57° 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

V = 21 m/s & R= 160 m

1) car’s acceleration = V2 /R = 212 /160 = 2.456 m/s2

2) = -2.456*cos(33) = - 2.3 m/s2

3) = -2.456*sin(33) = -1.5 m/s2

4) = -2.456 *cos( 57) = - 1.5 m/s2

5) = 2.456 *sin ( 57) = 2.3 m/s2

6) increasing

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