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Lab: Centripetal Force - Physics I | PHY 201, Lab Reports of Physics

Material Type: Lab; Class: Physics I; Subject: Physics; University: Piedmont Technical College; Term: Unknown 1989;

Typology: Lab Reports

Pre 2010

Uploaded on 08/18/2009

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Physics 201 Lab: Centripetal Force
1
Objectives
The main objectives for this laboratory exercise are to learn more about circular motion,
to study centripetal force, and to solve force equations
Method
The centripetal force on a stopper will be calculated by hanging a mass from a string and
swinging a stopper to balance out the forces.
Theory
If a mass follows a circular path, it is acted on by a centripetal (“center-seeking”) force.
In the case of the rubber stopper, the tension in the string causes the rubber stopper to
follow the circular path. If the rubber stopper is spinning in a circular path at constant
velocity then:
From Newton’s Second Law, Σ F = ma = 0 =T – mH g, since T causes the stopper to
move in a circular path then, FC = mSv2 /r = mHg
where T is the tension in the string, mH is the hanging mass, mS is the stopper mass, g is
the acceleration due to gravity, r is the radius of the circular path, and Fc is the
centripetal force.
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Objectives

The main objectives for this laboratory exercise are to learn more about circular motion, to study centripetal force, and to solve force equations

Method

The centripetal force on a stopper will be calculated by hanging a mass from a string and swinging a stopper to balance out the forces.

Theory

If a mass follows a circular path, it is acted on by a centripetal (“center-seeking”) force. In the case of the rubber stopper, the tension in the string causes the rubber stopper to follow the circular path. If the rubber stopper is spinning in a circular path at constant velocity then:

From Newton’s Second Law, Σ F = m a = 0 = T – mH g , since T causes the stopper to move in a circular path then, F C = mS v^2 /r = mH g

where T is the tension in the string, m (^) H is the hanging mass, m (^) S is the stopper mass, g is the acceleration due to gravity, r is the radius of the circular path, and Fc is the centripetal force.

Materials

The materials needed for this laboratory exercise are Fisher brand weight set, a plastic tube, a meterstick, a rubber stopper, a stop watch, and some string.

Procedure

ATTENTION: ALWAYS BE SURE NO ONE IS IN VICINITY OF THE SWINGING STOPPER.

  1. Measure the mass of the rubber stopper (ms ).
  2. Insert string through the plastic tube and tie the string to the rubber stopper.
  3. Place a piece of tape at the bottom of the tube such that the amount of string from the top of the tube to the stopper is approximately 40-60 cm. This keeps the radius of rotation constant throughout the motion. Measure the radius, r. This is the distance from the top of the tube to the center of mass of the stopper.
  4. Place a 100g mass on the end of the string (hanging mass).
  5. Spin the stopper in a constant horizontal plane so that the tape is next to but not resting against the plastic tube. Find the time it takes for 10 complete revolutions.
  6. Repeat steps 4 and 5 changing the mass in 50g increments to 300g.
  7. Calculate a) the time for one revolution (T 10 /10), b) the centripetal force (mHg), c) velocity (v = 2πr/T) and v 2.
  8. Make a plot in Excel of Centripetal force, Fc, (y – axis) versus velocity squared, v^2 (x
  • axis). The slope of this line will be ms /r.

Fc = (msv

2

)/r

Fc = mH g = (msv

2

)/r

v= (2 π r)/T

Fc /v 2 = slope = m s/r

  1. Multiply the slope value by r to get the experimental value of ms.
  2. Compute the percent error between the measured value of ms and the experimental value of ms.

x100% Measured

Measured-Experimental Percent error=