Could a standard of time be based on the period of a certain standard pendulum? What advantages and disadvantages would such a standard have compared to the actual present-day standard
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Could a standard of time be based on the period of a certain
standard pendulum? What advantages and disadvantages would such a
standard have compared to the actual present-day standard
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Solved in 2 steps
- The period T of a pendulum is the time it takes to move from one side to the other and back. A formula for the period is T=2πL32 where T is in seconds and L is in feet. Use 3.14 for π. Find the period of a pendulum of length 50 feet.0 5 10 40 35 30 25 20 Answer: 5 10 40 35 30 25 20 Suppose that you measure the length of an object by using a mictometer caliper and read the measured length as shown in the figure. Write down the value you read from the figure in units of mm. Pay attention to use the correct number of significant figures.Harvard Bridge, which connects MIT with its fraternities across the Charles River, has a length of 364.4 Smoots plus one ear. The unit of one Smoot is based on the length of Oliver Reed Smoot, Jr., class of 1962, who was carried or dragged length by length across the bridge so that other pledge members of the Lambda Chi Alpha fraternity could mark off (with paint) 1-Smoot lengths along the bridge.The marks have been repainted biannually by fraternity pledges since the initial measurement, usually during times of traffic congestion so that the police cannot easily interfere. (Presumably, the police were originally upset because the Smoot is not an SI base unit, but these days they seem to have accepted the unit.) Figure 1-4 shows three parallel paths, measured in Smoots (S), Willies (W), and Zeldas (Z). What is the length of 50.0 Smoots in (a) Willies and (b) Zeldas?
- in the general linear equation y=bx+a, what is measured by the value of b?How many years are there in 1.00 second? Assume an ordinary year. Consider 3 significant figures.Using your values for 7, calculate the average period Ibar (I) and its standard error. How does the error on the average period /bar (T) compares to the errors on the periods, I? What can you do to reduce the uncertainty on /bar (T)? What can you do to reduce the uncertainty on 7 ? Peried Trial T AT 4 141 $ 10.69 +α-0.5 2 10.60 + or -0.5 2 10.40 +α-0.5 10.43 +α-0.5 S 10.37 + or -0.5 Using your values for T, calculate the average period 7 and its standard error How does the error on the garage period compares to the errors on the periods, 7? What can you do to reduce the uncertainty on 7? What can you do to reduce the uncertainty on T7
- The period (T) of a simple pendulum is given by the formula T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity. Using dimensional analysis, determine the expression for the dimension of g in terms of the fundamental dimensions of mass (M), length (L), and time (T).Ex. 59 The equation of S.H.M. is x 5 TC 10 at + Find the epoch, period and sinCould someone please help me with this because I know how to do it but a little confused on the variable while doing the calculations
- Q.6 Give the reading of the micrometers below: 10 20 50 60 45 40 d=? mmWhat was the error in the following measurements? Mass (kg) Volume(m^3) Density (kg/m^3) 1.16 0.001 1160 2.46 0.0023 1069.565217 5.16 0.005 1032 10.16 0.01 1016 13.66 0.0135 1011.851852 There was no error in measurement There was a random error in the measurement of volume. The mass was measured with a systematic error Human error