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It takes a 615-kg race car 14.3 s to travel at a uniform speed around a circular racetrack of 50.0 m radius .

What is the acceleration of the car?

What average force must the track exert on the tires to produce this acceration?

2007-11-13 12:09:38 · 2 answers · asked by james 2 in Science & Mathematics Physics

2 answers

The speed around a circular racetrack is
V=2piR/t

1. Centripital acceleration is
a=V^2/R
a= (2piR/t)^2 /R
a= R((2pi/t)^2
a=50(( 2 pi / 14.3)^2=
a=9.65 m/s^2

2. Centripetal force is
F=ma
F=615 x 9.65=
F=5930 N

2007-11-13 12:17:26 · answer #1 · answered by Edward 7 · 1 0

A=(4[pi]^2r)/t^2
A=(4[pi]^2(50))/14.3^2
A=1973.1762/14.3^2

A= 9.649 m/s/s



F=MA
F=615 x 9.649

F= 5934.135 N

You may want to check my math. The calculator on my computer is hard to use

2007-11-13 12:23:42 · answer #2 · answered by wil 3 · 0 1

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