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centrifugal problem?
Link | by hello on 2010-02-08 18:06:59
I tie a 1kg ball on a string to the roof of a car. As the car accelerates, the string makes a 10 degree angle from its original position. Whats the acceleration of the car?

I'm not sure what to do here. Length of rope isn't given.

No.

Re: centrifugal problem?
Link | by gendou on 2010-02-08 22:24:18
The length of the rope doesn't matter, since it's the angle of inclination that's important.
This is not a problem of centrifugal force, either, because the car is accelerating in an unsubscribed manner.
It could be accelerating in a circle, or a strait line.
I will assume the later for simplicity.

I draw a right triangle where the hypotenuse is the string.
The long vertical leg is the force vector for gravity pointing down having a magnitude of 9.8m/s2.
The short horizontal leg is of unknown magnitude and represents the force vector due to the acceleration of the car.
The angle between the hypotenuse (string) and the vertical leg (gravity) is known to be ten degrees.
Use the trigonometric tangent function to solve for the magnitude of the unknown acceleration:

tan(10°) = X / 9.8m/s2
X = tan(10°) * 9.8m/s2
X = 1.73m/s2



Re: centrifugal problem?
Link | by hello on 2010-02-11 13:33:59
o ok thanks.

No.

Re: centrifugal problem?
Link | by inuroks on 2011-03-08 00:13:13
I totally agree with Gendou . it is quite simple isn't it?

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