Question

Use dimensional analysis to determine how the frequency "f" of a pendulum (number of complete cycles per second) depends on some, or all, of these properties: the length "L" of the pendulum, the mass "m" of the pendulum bob, and the gravitational field strength "g" ( in m/s2). Assume that the amplitude of the swing (the maximum angle that a string makes with the vertical) has no effect on the period

Name: use dimensional analysis to determine how the frequency f of a pendulum number of complete cycles per second depends on some or all of these properties the length l of the pendulum the mass 37414
Uploaded: 2022-09-08T20:35:03-08:00
Duration: 4 min 4 s
Channel: Gregory Devenport
Description: use dimensional analysis to determine how the frequency f of a pendulum number of complete cycles per second depends on some or all of these properties the length l of the pendulum the mass 37414

          Use dimensional analysis to determine how the frequency "f" of a
pendulum (number of complete cycles per second) depends on some, or
all, of these properties: the length "L" of the pendulum, the mass
"m" of the pendulum bob, and the gravitational field strength "g" (
in m/s2). Assume that the amplitude of the swing (the maximum angle
that a string makes with the vertical) has no effect on the
period

Added by Jennifer P.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Gregory Devenport

09/08/2022

Step 1

- Length \( L \) of the pendulum has the dimension \([L]\). - Mass \( m \) of the pendulum bob has the dimension \([M]\). - Gravitational field strength \( g \) has the dimension \([LT^{-2}]\). Show more…

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Use dimensional analysis to determine how the frequency "f" of a pendulum (number of complete cycles per second) depends on some, or all, of these properties: the length "L" of the pendulum, the mass "m" of the pendulum bob, and the gravitational field strength "g" ( in m/s2). Assume that the amplitude of the swing (the maximum angle that a string makes with the vertical) has no effect on the period