Google Maps nt/mainfr. YouTube Wikipedia News Wiley PLUS US Cutnell, Physics, 10

Question

Google Maps nt/mainfr. YouTube Wikipedia News Wiley PLUS US Cutnell, Physics, 10e Practice Assignment Gradebook ORION COLLEGE PHYsics -ALGEBRA (PKY181/182) gnment Chapter 12, Problem 021 MY IN Your answer is partially correct. Try again. A simple pendulum consists of a ball connected to one end of a thin brass wire. The period of the pendulum is 3.53 s. temperature rises by 14s c, and the length of the wire increases. Determine the change in the period of the heated pendulum. The Number D 3.5338 Units the tolerance is +/-2% SHOW HINT LINK TO TEXT Question Attempts: 4 of 5 used Copyright 2000-2015 by John Wiley 6 sons, inc. or related companies. All rights reserved.

Explanation / Answer

here,

time period , T = 3.53 s

let the initial length of pendulam be l

T = 2 * pi* sqrt(l/g)

3.53 = 2 * pi*sqrt( l/9.8)

l = 3.1 m

when change in temprature ,delta T = 145 degree C

alpha * l = delta l / delta T

19 * 10^-6 * 3.1 = delta l /145

delta l = 0.0085 m

new length , l' = l + delta l = 3.1085 m

T' = 2 * pi* sqrt( 3.1085/9.8)

T' = 3.5369 s

the change in time period = T' - T

= 6.89 * 10^-3 s

the change in time period of the heated pendulam is 6.89 * 10^-3 s

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