Problem based on simple pendulum
A simple pendulum has a period of 2.40 seconds at a location where g = 9.810 m/s^2. What is the value of g at another place on the earth's surface where this pendulum has a period of 2.42 seconds.
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Consider a newly designed structure. The capacity of the structure is estimated to be c-bar = 12,500 kips, and the standard deviation ?c = 5,000 kips. It is assumed that the capacity is normally distributed.
Where a is a scaling constant and v is the relative speed of the body moving through the air. How much faster would the cyclist go if he could increase his power output by 10%?
A Boat is traveling along a circular path having a radius of 20m . Determine the magnitude of the boat's acceleration if at a given instant the boats speed is v = 5 m/s and the rate of increases in speed is v = 2 m/s2.
A helium gas in a piston/cylinder is compressed from 100kPa, 300 K to 200kPa in a polytropic process with n=1.5. Find the specific work and specific heat transfer.
If the clock's driving spring is allowed to run down, damping due to the friction will cause the pendulum to slow to an eventual stop. If the time constant for decay is 300 sec, how long will it take for the pendulum's swing to be reduced to half
A study reports the results of a regression analysis based on n=15 observations in which x = filter application temperature and y=% efficiency of BOD removal. Calculated quantities include:
A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised and so intends to test the hypotheses
A sinusoidal wave with an amplitude of 1.5 cm and a frequency of 100 Hz travels at 200 m/s in the positive x-direction. Write the equation for the wave's displacement as it travels.
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