Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Oscillatory Motion
Section: Chapter Questions
Problem 30P: A small object is attached to the end of a string to form a simple pendulum. The period of its...
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Help me please with F-G ONLY .The value of S for part f is 0.25m/s2. PLEASE AND THANK YOU!!!
Transcribed Image Text:The following table of results was obtained during an experiment to find the period of a simple
pendulum.
Length, 1/m
0.10
0.20
0.30
0.40
0.50
0.60
Period, T/s
0.69
0.92
1.11
1.27
1.42
1.55
Period Squared, T7s
a) Include in the table values for period squared, T.
b) Plot a graph of period squared against length on graph paper.
c) Calculate the gradient, S, of the graph.
d) From the graph, determine the:
i) period of the pendulum when the length of the pendulum is 0.15 m.
ii) length that would give a period of 1.3 s.
e) Calculate the frequency of the pendulum found in d) above.
) The value for gravity can be calculated by using the formula g= 4 x/S; where S is the
gradient of the graph. Calculate the value of g. (a= 3.14)
g) The period of a pendulum is inversely proportional to its frequency'. Explain the meaning of
this statement.
h) State one precautionary measure that should have been taken by the students to improve
accuracy.
i) At what length would the values for the frequency and the period be the same?
(g = 10 ms ;
*= 3.14)
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