A sphere, when released revolved about an axis, whose distance from the center of gravity of the sphere is 100 meters. The angular velocity of the sphere is 9 radians per second. If the acceleration is constant, what is the angular displacement of the sphere in degrees at 10 seconds?
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- The angular velocity of rod OB varies as tetha = 8 - 12t^2 rad/s where t is in seconds. Compute the magnitude of the acceleration of point B at (a) t = 0; and (b) t= 1.0s.The position coordinate of a particle which is confined to move along a straight line is given by s = 2t³ - 24t + 6, where s is measured in meters from a convenient origin and t is in seconds. Determine (a) the time required for the particle to reach a velocity of 72 m/s from its initial condition at t = 0A 500 N block is resting on an inclined plane and is subjected to a constant force of 600N acting parallel to the inclined plane. After the block has moved 3 m from rest along the inclined plane the force 600N is removed. The inclined plane has a slope of three vertical to four horizontal. Coefficient of friction is 0.20 a. Which is the following gives the distance that the black will move further along the inclined plane until it will stop? b. Which of the following gives the velocity of the block when this for 600 Newton was removed? c. Which of the following gives the velocity of the block when it returns to its initial position?
- The open-top cylinder vessel, 0.5 m in diameter and 1.0 m in height, is filled with a liquid up to 0.75 in height. Calculate the constant angular velocity and at what constant speed the cylinder should be rotated around the vertical axis of the container so that the paraboloid of the free surface of the liquid is tangent to the bottom of the container. Then find the volume of fluid ejected from the cylinder container in this case.A cylindrical tank has a diameter of 1.4m and a total height of 1.8m. It contains water to a depth 2/3 of its total height. What will be the required angular velocity in rad/s such that half of its content spilled out? A. 14.00 rad/s B. 8.09 rad/s C. 10.40 rad/s D. 9.80 rad/sAn open cylindrical tank 3m high and 1.5m in diameter contains 2m high of water. If the cylinder rotates about its geometrical axis, what constant angular velocity can be attained if the depth of water at the center is 0.5m? Unit of the Correct Answer: rad/sec Decimal Places required in the final answer: 3
- The velocity of a particle traveling along a straight line is v = (8t ^ 2 - 9t) * f * t / m * i * n , where t is in mins. s = 6m when t = 0min , determine the position of the particle when (a) t = 0.6min and (b) t = 0.2min .9. A closed cylindrical tank is 2.0 m high and 1.0 m in diameter and contains oil (sg = 0.70) at a depth of 1.5 m. If the tank is subject to an angular velocity of 20 rad/sec, determine the area at the bottom of the tank that is uncovered with oil.a cylindrical tank has a diameter of 1.4m. and a total weight of 1.8 m. it contains water to a depth 2/3 of its total height. what will be the required angular velocity (in rad/s) such that half of its content will be spilled out? a) 9,80 rad/s b) 14.00 rad/s c) 10.40 rad/s d) 8.09 rad/s
- The 233000-lb space-shuttle orbiter touches down at about 237 mi/hr. At 208 mi/hr its drag parachute deploys. At 45 mi/hr, the chute is jettisoned from the orbiter. If the deceleration in feet per second squared during the time that the chute is deployed is -0.000170v2 (speed v in feet per second), determine the corresponding distance s traveled by the orbiter. Assume no braking from its wheel brakes.A volleyball player throws the ball with an initial velocity that makes an angle ?= 35º with the horizontal. Determine: The magnitude of minimum initial velocity with which the ball must be thrown in order to pass the net of height h. More data: h= 2.40 m Y= 2.15 m L= 12 m. An open cylinder tank 0.5 m in diameter and 1 m in height is completely filled with water and rotated about its axis at 240 rpm. Determine the volume of water spilled out of the tank. Unit of the Correct Answer: liters Decimal Places required in the final answer: 2 An open cylindrical tank 3m high and 1.5m in diameter contains 2m high of water. If the cylinder rotates about its geometrical axis, what constant angular velocity can be attained if the depth of water at the center is 0.5m? Unit of the Correct Answer: rad/sec Decimal Places required in the final answer: 3 A vertical cylindrical tank is 9 m high and 5 m in diameter. It is two thirds full of water and is rotated uniformly about its axis until on the point of overflowing. Compute the linear velocity at the circumference of the tank. An open cylindrical vessel 2m diameter and 4.2 m depth is 2/3 full of water. If rotated about the vertical axis at constant angular speed 80 rpm, determine the amount of water in…