1. A cylindrical tank of methanol has a mass of 40 kg and a volume of 51 liters. Determine the methanol's weight, density and specific gravity. Also, estimate how much force is needed to accelerate this tank linearly at 0.25 m/s.
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- Oil is filled within a tall cylindrical tank. A flat disk with a height of 1 cm and with a diameter of 5 cm is placed into the oil. There occurs a narrow spacing of 0.1 mm between the disk and the tank wall. Due to the forces acting on the disk, it moves downward, and after some time, the speed of the disk reaches a terminal velocity. Beyond this moment, measurements reveal that the disk moves 30 cm in 4 seconds. If the oil density is 600 kg/m3and the specific gravity of the disk is 1.5, determine the oil’s viscosity.Calculate the buoyancy force acting on a partially immersed boat (V = 5.0 m3). The density of water is 1000 kg/m3 .Determine the mass moment inertia of a steel shaft that is 2 m long and has a diameter ( d ) of 10 cm. The density of steel is 7860 kg⁄m3 .
- A balloon structure weighing 5 kN carries a reinforcing steel bars weighing 10 kN . Determine the volume in cubic meter of gas compartment if helium is used. Unit weight of air is 0.021 kN/m3 and relative density f helium is 2.0 x 10-4 .A cylindrical tank with a diameter of 80 cm is partially filled with SAE 10W oil (ρ = 870 kg/m3). If the mass of the oil in the tank is 340 kg, determine the height of the oil in the tank.A right circular cylindrical container 3m in diameter and 4 m high is ½ full of water. When rotated about its vertical axis at the rate of 5 radians per second, what is the volume of the paraboloid formed by the rotation of the vessel? Unit of the Correct Answer: m^3 An open cylindrical tank one meter in diameter and 3 m high is 3/5 full of water. If the tank is rotated about its vertical axis, what speed should it have in rpm so that the water could just reach the rim of the tank. Unit of the Correct Answer: rpm
- A hollow cylinder 1.72-m in diameter and 6-m long weighs 3,046 N. How many cubic meters (m3) of metal weighing 102 kN/m3 must be placed inside the cylinder such that 1.1 m. of the cylinder is protruding above the liquid surface? The hollow cylinder is submerged in a liquid that has a specific gravity of 2.7. Round off to four decimal places.When a 644lb boat is moving at 10ft per sec, the motor conks out. how much farther will the boat glide, assuming its resistance to motion is 2 v lb where v is feet per secondsDetermine the acceleration at the instant shown. The particle has a constant speed of 2 m/s.
- An average table tennis ball has a diameter of 3.812cm. And a mass of 2.676 grams. Assuming that air buoyancy is included, what will be the density of air (in kg/m^3) needed to make the table tennis ball is a depth of h = 7.032 mm., in a liquid with specific gravity of 1.007? Neglect any temperature change that could after the density of air. Assume the ball to be a sphere.An average table tennis ball has a diameter of 3.809 cm. And a mass of 2.655 grams. Assuming that air buoyancy is included, what will be the density of air (in kg/m^3) needed to make the table tennis ball is a depth of h = 7.009 mm., in a liquid with specific gravity of 1.038? Neglect any temperature change that could after the density of air. Assume the ball to be a sphere.A cylinder vessel filled with water with a 2m diameter and 5m high. It was rotated with uniform angular velocity and spilled half of its volume. A)Estimate the pressure at the center of paraboloid in Pascals when it is rotating. B) Estimate the depth of paraboloid in meters when it is rotating. C)estimate the velocity in rev/s when its rotating