The period of a pendulum of length b centimeters undergoing small oscillations is given by T = 2pi(sqrt(b/g)) seconds, where g = 980 centimeters per second per second. Suppose the length of the pendulum changes as a function of temperature so that db/dr= 0.08 centimeters per degree Celsius. a. Find dT/dr when b = 20 centimeters. Use (a.)to approximate the effect on T of a 1 degree C increase in temperature. Do the same for a 2 degree C increase and a 2 degree C decrease.

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Chapter1: Measurement
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Problem 7E: Write the following quantities in standard units. (a) 0.55 Ms (b) 2.8 km (c) 12 mg (d) 100 cm
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The period of a pendulum of length b centimeters undergoing small oscillations is given by

T = 2pi(sqrt(b/g)) seconds,

where g = 980 centimeters per second per second. Suppose the length of the pendulum changes as a function of temperature so that

db/dr= 0.08 centimeters per degree Celsius.

a. Find dT/dr when b = 20 centimeters. Use (a.)to approximate the effect on T of a 1 degree C increase in temperature. Do the same for a 2 degree C increase and a 2 degree C decrease.

T = 27
seconds,
Transcribed Image Text:T = 27 seconds,
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