What is the frequency of a simple pendulum 2.2 m long (a) in a room, (b) in an elevator accelerating upward at a rate of 1.2 m/s2, and (c) in free fall?
(a) | Number | Enter your answer for part (a) in accordance to the question statement | Units | Choose the answer for part (a) from the menu in accordance to
the question statement
Hzkg/srad/m or m^-1kg/mW/m^2rad/cm or cm^-1mW/m^2nW/m^2μW/m^2Hz^1/2 |
(b) | Number | Enter your answer for part (b) in accordance to the question statement | Units | Choose the answer for part (b) from the menu in accordance to
the question statement
Hzkg/srad/m or m^-1kg/mW/m^2rad/cm or cm^-1mW/m^2nW/m^2μW/m^2Hz^1/2 |
(c) | Number | Enter your answer for part (c) in accordance to the question statement | Units | Choose the answer for part (c) from the menu in accordance to
the question statement
Hzkg/srad/m or m^-1kg/mW/m^2rad/cm or cm^-1mW/m^2nW/m^2μW/m^2Hz^1/2 |
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(a)
f = 1/2 sqrt ( g/L)
f = 1/2 sqrt ( 9.8 / 2.2)
f = 0.336 Hz
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(b)
apparent acceleration is g + a
so,
f = 1/2 sqrt ( g + a / L)
f = 1/2 sqrt ( 11 / 2.2)
f = 0.355 Hz
____________________
(c)
in free fall, tension is zero,
so,
f = 0 Hz
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