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Vertical Displacement h of Pendulum Bobn (at 20 degrees) Vertical displacement h

ID: 1431274 • Letter: V

Question

Vertical Displacement h of Pendulum Bobn (at 20 degrees)

Vertical displacement h of pendulum bob (at 20 degrees): _____________________

Theoretical vertical displacement h of pendulum bob based on Kmax: ____________________________

Theoretical vertical displacement h of pendulum bob based on Umax: _____________________________

Procedure 1. Measure the mass of the pendulum's bob and record the value in Table 2 2. Measure the length of the pendulum, from the center of rotation to the center of the bob, and record the value in Table 2 Table 2 Item Value Mass of pendulum bob, M0.079 kg Length of pendulum, L 0.34 m 3. In DataStudio, click the Calculate' button to open the calculator. You need to enter your values for M and L in the Experiment Constants' section of the calculator. Click 'Accept when done 4 4. With the pendulum at rest in its equilibrium position, click Start in Data Studio 5. Use a protractor to estimate the angle, lift the pendulum 20 and let it go 6. 6. The graph displays show angular velocity, kinetic energy, potential energy, and total energy. Use the statistics feature to find the maximum and minimum values of kinetic energy and potential energy. Record the values in Table 3. Table 3 Item Value ()) Maximum K (kinetic energy) 0.013 Minimum K (kinetic energy) Maximum U (potential energv)0.014 Minimum U (potential energy)o 0

Explanation / Answer

L= L(1-cos) = 0.34(1-cos20) = 0.0205 m

By law of conservation of energy

Kmax = PE

Kmax = mgh

h= Kmax/mg = (0.013)/(0.079*9.8) = 0.0168m

By law of conservation of energy

Umax = PEmax

Kmax = mgh

h= Umax/mg = (0.014)/(0.079*9.8) = 0.018m