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A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to ?(t)=?t+?t3, where ?= 0.411 rad/s and ?= 1.45×10?2 rad/s3
A) Calculate the angular velocity of the merry-go-round as a function of time.
B) Express your answer in terms of the variables ?, ?, and t.
C) What is the initial value of the angular velocity?
D) Calculate the instantaneous value of the angular velocity ?z at t= 5.30s.
E) Calculate the average angular velocity ?av?z for the time interval t=0 to t= 5.30s.
A helicopter is rising at 4.60 m/s when a bag of its cargo is dropped. The bag falls for 2.50 s. (suppose that the positive direction is upward.)
What are the x-component and y-component of the velocity.
A wave of amplitude 0.40 m interferes with a second wave of amplitude 0.3 m traveling in the same direction. (a) What is the largest resultant amplitude that can arise.
A certain engine can exert 75,000 kg m/sec/sec of force. Assuming that all the force is used to accelerate the vehicle on which the engine is mounted, how fast would the vehicle accelerate assuming that it masses 5,000 kg? Neglect friction/air res..
A box weighing 250-N is supported by the cable; the tension in the cable is 120-N. How much time elapses as box falls (starting from rest) 15.0 m.
The pilot of an airplane travelling 200 km/h wants to drop supplies to flood victims isolated on a patch of land 165m below. The supplies should be dropped how various seconds before plane is directly overhead.
what is the rms speed of the molecules. Graphically find out the distance and direction from Lake B to the base camp.
A bat in a cave emits a sound pulse and receives an echo 0.22 second later. Assuming that the speed of sound is 339 m/s, how far did the sound (the longitudinal wave) travel during this time.
A 12 kg block is moving horizontally across a frictionless surface with a constant velocity of 25 m/s, How far does the block move before it comes to a stop
A 3.0 m tall, 64 cm diameter concrete column supports a 205,000 kg load. By how much is the column compressed
A loudspeaker of mass 25 is suspended a distance of = 1.60 below the ceiling by two cables that make equal angles with the ceiling. Each cable has the length of = 3.30.
In coming to a stop, a car leaves skid marks 91m long on the highway. Assume a deceleration of 7.5m/s2, compute approximately the speed of the car just before braking.
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