The period of a simple pendulum is t=2π √(l/g) with l = length of the pendulum and g = gravity of earth. a. derive the scaling law for the pendulum. b. how much would the period of the pendulum change when you decrease the characteristic dimension by a factor of 10?

Air initially at 0.75 bar, 1000 k, and occupying a volume of 0.12 m^3 undergoes two processes. process 1-2: the air is compressed isothermally until the volume is halved. process 2-3: the air undergoes a constant pressure process until the volume is halved again. assume ideal gas behavior. a) determine the mass of the air, in kg. b) the work and the heat transfer for each of the two processes, in kj. (100 kj = 1 bar . m^3)

Water is siphoned from a large tank and discharges into the atmosphere through a 50-mm diameter tube. the end of the tube is b = 2.6 m below the tank bottom which is a = 6.7 m deep, and viscous effects are negligible. determine the maximum height h over which the water can be siphoned without cavitation occurring. atmospheric pressure is 101.4 kpa, and the water vapor pressure is 1.79 kpa (absolute). report your answer in meters to two decimal places.

Refer to your lab guide and review the data in table b to complete each statement. the mass of g1 + g2 after the collision kg. the velocity of g1 + g2 after the collision m/s. the momentum of the combined gliders after the collision kg · m/s.