As the captain of the scientific team sent to Planet Physics, one of your tasks is to measure g. You have a long, thin wire labeled 1.22 g/m and a 1.24 kg weight. You have your accurate space cadet chronometer but, unfortunately, you seem to have forgotten a meter stick. Undeterred, you first find the midpoint of the wire by folding it in half. You then attach one end of the wire to the wall of your laboratory, stretch it horizontally to pass over a pulley at the midpoint of the wire, then tie the 1.24 kg weight to the end hanging over the pulley. By vibrating the wire, and measuring time with your chronometer, you find that the wire's second harmonic frequency is 200 Hz. Next, with the 1.24 kg weight still tied to one end of the wire, you attach the other end to the ceiling to make a pendulum. You find that the pendulum requires 319 s to complete 100 oscillations. Pulling out your trusty calculator, you get to work.
As the captain of the scientific team sent to Planet Physics, one of your tasks is to measure g. You have a long, thin wire labeled 1.22 g/m and a 1.24 kg weight. You have your accurate space cadet chronometer but, unfortunately, you seem to have forgotten a meter stick. Undeterred, you first find the midpoint of the wire by folding it in half. You then attach one end of the wire to the wall of your laboratory, stretch it horizontally to pass over a pulley at the midpoint of the wire, then tie the 1.24 kg weight to the end hanging over the pulley. By vibrating the wire, and measuring time with your chronometer, you find that the wire's second harmonic frequency is 200 Hz. Next, with the 1.24 kg weight still tied to one end of the wire, you attach the other end to the ceiling to make a pendulum. You find that the pendulum requires 319 s to complete 100 oscillations. Pulling out your trusty calculator, you get to work.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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18. Please solve the following
Transcribed Image Text:As the captain of the scientific team sent to Planet Physics, one of your tasks is to measure g.
You have a long, thin wire labeled 1.22 g/m and a 1.24 kg weight. You have your accurate
space cadet chronometer but, unfortunately, you seem to have forgotten a meter stick.
Undeterred, you first find the midpoint of the wire by folding it in half. You then attach one end
of the wire to the wall of your laboratory, stretch it horizontally to pass over a pulley at the
midpoint of the wire, then tie the 1.24 kg weight to the end hanging over the pulley. By
vibrating the wire, and measuring time with your chronometer, you find that the wire's second
harmonic frequency is 200 Hz. Next, with the 1.24 kg weight still tied to one end of the wire,
you attach the other end to the ceiling to make a pendulum. You find that the pendulum
requires 319 s to complete 100 oscillations. Pulling out your trusty calculator, you get to work.
Part A
What value of g will you report back to headquarters?
Express your answer with the appropriate units.
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