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An airplane propeller blade is 2.00m long ( measured from the axis of rotation), and is spinning at 1150.RPM. Find it's: a) angular velocity in rad/s, b) angular displacement after 4.00 s, and c) the linear (tangential) speed of the tip of the blade.
How many seconds would it take for a 4.50kw motor to raise a 175.kg boiler to a height of 15.0m?
(a) the displacement x, in m, from the equilibrium position of a particle moving with simple harmonic motion, is given by, x= 0.05 sin 6t, where t is the time, in s, measured from an instant when x= 0. (1) state the amplitude of the oscillations. (2) calculate the time period of the oscillations and the maximum acceleration of the particle.
(b) A mass hanging from a spring-suspended vertically is displaced a small amount and released. By considering the force on the mass at the instant when the mass is released, show that the motion is simple harmonic and derive an expression for the time period. Assume that the spring obeys Hooke's law.
A wire with a mass of 64 g and 1 m long floats horizontally in magnetic field. If
B = 1.6x10^-2 T is at the direction perpendicular to the wire, calculate the value of current in the wire with the aid of a diagram.
a particle moving with SHM has a speed of 8.0ms^-1 and an acceleration of 12ms^-2 when its is 3.0m from its equilibrium position. Find : (a) the amplitude of the motion, (b) the maximum velocity, (c) the maximum acceleration.
a particle moves with shm of period 4.0s and amplitude 4.0m. its displacement from the equilibrium position is x. find the time taken for it to travel: (a) from x=4.0m to x= 3.0m, (b) from x=-4.0m to x=3.0m, (c) from x=0 to x=3.0m, (d) from x=1.0 to x= 3.0m.
Water flows at speed of 5.5 m/s through a horizontal pipe of diameter 3 cm . The gauge pressure P1 of the water in the pipe is 1.7 atm . A short segment of the pipe is constricted to a smaller diameter of 2 cm . P1 5.5 m/s 3 cm 1.7 atm P2 v2 2 cm What is the gauge pressure of the water flowing through the constricted segment? Atmospheric pressure is 1.013 × 105 Pa . The density of water is 1000 kg/m3 . The viscosity of water is negligible.
If the density of the heavy liquid is 9.1 g/cm3 , by what height h1 does the heavy liquid rise in the left arm? 1. 0.810883 2. 0.435573 3. 0.39233 4. 0.573983 5. 0.459748 6. 0.544456 7. 0.710862 8. 0.899009 9. 0.641132 10. 0.538315
Bone has a Young’s modulus of about 1.8 × 1010 Pa . Under compression, it can withstand a stress of about 1.67 × 108 Pa before breaking. Assume that a femur (thigh bone) is 0.55 m long, and calculate the amount of compression this bone can withstand before breaking.
What is the electric flux through a sphere of radius 4m that contains a (a)
≠+50 hC and (b) -50 hC charge at its center?
