Question

A car is traveling around a horizontal circular track with radius r = 210 m at a constant speed v = 23 m/s as shown. The angle θ_A = 23° above the x axis, and the angle θ_B = 53° below the x axis.

1)

What is the magnitude of the car’s acceleration?

m/s²

Your submissions:

2)

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

m/s²

Your submissions:

3)

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

m/s²

Your submissions:

4)

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

m/s²

Your submissions:

5)

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

m/s²

Your submissions:

6)

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

increasing

constant

decreasing

Answer 1

given that

r = 210 m

v = 23 m/s

_A = 23^o

_B = 53^o

(a)

a = v²/r

a = (23)² / 210

a = 2.51 m/s²

(2)

X-component of acceleration, a_x = a*cos*θ_A

a_x = 2.51*cos23 = 2.31 m/s²

(3)

a_y = a*sin_A

a_y = 2.51*sin23 = 0.980 m/s²

(4)

a_x = a*cos_B

a_x = 2.51*cos53 = 1.51 m/s²

(5)

a_y = a*sin_B

a_y = 2.51*sin53 = 2 m/s²

(6)

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