Lecture2

Lecture2 - Effect depends on vertical displacement [h] = L...

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Click to edit Master subtitle style 2/23/11 Lecture 2: Derivatives, Falling Bodies Ph 1a Fall 2009
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2/23/11 Picture 5
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2/23/11 Order of magnitude estimates How much money is in an armored car ? A ream of paper (500 sheets) is 5 cm thick Volume of a $20 bill is 6 cm x 15 cm x 0.01 cm = 1 cm3 Volume of compartment is (2 m)3 ~ 10 m3 = 107 cm3 If the car is carrying $20 bills (ATM servicing), a full compartment is worth $200M. How much does the money “weigh” ? Density of paper is similar to water, 1 g cm-3
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2/23/11 Dimensional analysis Must always check that dimensions are consistent Can often guess the solution to a problem by finding the appropriate combination of input quantities that has the same dimensions as the Picture 3
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2/23/11 Gravitational effect on clocks [g] = L T-2 [c] = L T-1
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Unformatted text preview: Effect depends on vertical displacement [h] = L Note that gh/c2 is dimensionless A good guess for the fractional change in clock rate (frequency) ? 2/23/11 The latest in timekeeping Picture 3 Picture 4 Picture 5 2/23/11 Derivatives On blackboard. .. Position, velocity, acceleration Definition of derivative as limit Derivative of tn using Pascals triangle Product rule, quotient rule, chain rule Constant acceleration: expressions for velocity and position vs time 2/23/11 Demonstrations Comparison of two identical pendula Dependence of period on swing amplitude Driven pendulum Horizontal drive at pendulum frequency, vs vertical drive at twice the frequency Free fall penny and feather, in vacuum and air...
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This note was uploaded on 02/22/2011 for the course PH 1a taught by Professor Goodstein during the Fall '07 term at Caltech.

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Lecture2 - Effect depends on vertical displacement [h] = L...

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