Please Explain why his clock is wrong? \"I\'m starting a business making custom
ID: 1481654 • Letter: P
Question
Please Explain why his clock is wrong?
"I'm starting a business making custom pendulum clocks," your next client says. "I measured the period for several pendula," he adds, showing you a graph (below). "The data fit a very nice straight line. I originally wanted a pendulum that oscillated once per second, but from my graph that's not possible. So I used the fit to my data to design a clock to run with a period of 1.5 seconds (and made it 0.45-meters-long). However, it kept terrible tune, gaining about 6 minutes every hour! What's going on?" Why is his clock keeping terrible tune? What is the flaw with his clock design? (The data points shown are correct.) Sketch any correction on his graph, if any, you think should be made.Explanation / Answer
Time period doesnt vary linearly with length. It varies as a sqaure root of length. Hence ofcourse his analysis is wrong that a clock of time period 1 second cannot be obtained.
So his linear extrapolation gave him a wrong time period. Since he knows the wrong time period for the clock, he mistakes the time the clock measures.
He needs to find out the nonlinear dependence of Timeperiod with length.