C1 Applications of Differentiation
Maths and statistics discussion, revision, exam and homework help.
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C1 Applications of Differentiationa/ A simple pendulum consists of a small metal ball attached to a fixed point by a cord of length L centimetres. It takes T seconds to make one swing, where T=0.2√L. Find dT/dL.
b/ The cord originally has length 2.5 metres. If it is lengthened by 2 millimetres, calculate what effect this will have on the time of swing.
Finding the derivative is easy enough: 0.1/√L. Unfortunately, I don't know how to use the derivative to work out what the effect will be on the time of swing when the length is increased. -
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Re: C1 Applications of DifferentiationYou don't need to use the derivative.(Original post by Julii92)
a/ A simple pendulum consists of a small metal ball attached to a fixed point by a cord of length L centimetres. It takes T seconds to make one swing, where T=0.2√L. Find dT/dL.
b/ The cord originally has length 2.5 metres. If it is lengthened by 2 millimetres, calculate what effect this will have on the time of swing.
Finding the derivative is easy enough: 0.1/√L. Unfortunately, I don't know how to use the derivative to work out what the effect will be on the time of swing when the length is increased.
T=0.2√L Sub in L = 2.5 to get original time, and then L = 2.502 to get the new time, then the difference is the 'effect'. -
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Re: C1 Applications of DifferentiationThanks for answering but the textbook explicitly says to find the answer using the derivative - I should have mentioned.(Original post by hassi94)
You don't need to use the derivative.
T=0.2√L Sub in L = 2.5 to get original time, and then L = 2.502 to get the new time, then the difference is the 'effect'.
