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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 θ(t)= γt+ βt3, where γ = 0.400 rad/s and β = 0.0120 rad/s3.
a) Calculate the angular velocity of the merry-go-round as a function of time.
b) What is the initial value of the angular velocity?
c) Calculate the instantaneous value of the angular velocity ωz at t=0 to t= 5.00 s. Show that the wav-z is not equal to the average of the instantaneous angular velocities at t=0 and t=5.00 s, and explain why it is not.
A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to θ(t)= γt+ βt3, where γ = 0.406 rad/s and β = 1.30×10−2 rad/s3.
a) Calculate the angular velocity of the merry-go-round as a function of time.
b) What is the initial value of the angular velocity?
c) Calculate the instantaneous value of the angular velocity ωz at t=0 to t= 5.00 s. Show that the wav-z is not equal to the average of the instantaneous angular velocities at t=0 and t=5.00 s, and explain why it is not.
One liter of air is cooled at constant pressure until its volume is halved, and then is
allowed to expand isothermally back to its original volume. Draw the process on
the PV diagram.
An ideal gas expands isothermally, performing 3.40x103 J of work in the process.
Calculate (a) the change in the internal energy of the gas, and (b) the heat
absorbed during the expansion.
A ray of light in the air strikes a glass plate (n=1.5) at an incidence angle of 50°. determine the angle of transmission.
A concave spherical mirror has a focal length of 5 cm an object o,3 cm height, is placed 8 cm in front of the mirror.by constructing a ray diagram, determine the position and height of it's image.
In an ideal rankine cycle, steam is generated at 4.1 MPa and 480 degrees C. The condenser is at 32 degrees C. Determine (a) The ideal pump work. (b) The cycle thermal efficiency, (c) For an engine with the same end states, determine its thermal efficiency, steam rate, and map, (d) considering the engine only, assume the brake engine efficiency to be 78%, the generator efficiency to be 92%, the steam flow rate 163,300 kg/hg; compute the output of the combined unit.
Find the magnitude and direction of the net gravitational force on mass A due to masse B and C. Each mass is 2.00 kg
(a) A<-10cm<->C<-------40cm----->B
(b) C<-10cm<->A<-------40cm----->B
a vibration of frequency 5 Hz sends a wave of wavelength 0.8 m down a rope. What is the speed of the wave
#339914 on Dec 2023