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For the shaded area given in figure determine moments of inertia about x and y axes (Ix and Iy).
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- A laboratory centrifuge like the one shown in the figure operates with a rotational speed of 12000 rpm. a) What is the magnitude of the centripetal acceleration of a red blood cell that is at a radial distance of 8? 00 cm from the axis of rotation of the centrifuge? b) If there are 0.0166Kg of mass of red blood cells in the centrifuge, calculate the centripetal force.The propeller of a world war ll fighter plane is 2.4 m in diameter. a) what is its angular velocity in radians per second if it spins at 1300 rev/min? W= rad/sb)what is the linear speed of its tip at this angular velocity of the plane is stationary on the tarmac? V= m/sc)what is the centripetal acceleration of the propeller tip under these conditions? Calculate it in meters per second squared ac = m/s^2 compare centripetal acceleration to the acceleration due to gravity g. Is the centripetal acceleration large or very small compared to g? ac/g= d) state what force provided this centripetal acceleration -the gravitational force -the rotary motor of the plane attached to the propeller -the Coriolis force -the force of kinetic frictionA car is slowing down in a straight road.What direction does its angular velocity point? And what direction does its angular acceleration point?Explanation. A plumb bob is generally to hang vertically downwards – ie, towards the center of the Earth.(it maybe not always true) By drawing a free-body diagram and considering the centripetal acceleration of a plumb-bob (at 45o N latitude), explain why. indicate the direction (north, south, east, or west) that the plumb bob will hang. Two particles execute simple harmonic motion with the same amplitude. One particle has twice the frequency of the other. Compare their maximum velocities and accelerations.
- A 100 kg vehicle enters a flat circular turn of radius 5 m. It is initially traveling at 5 m/s counterclockwise. During the first 1/8 of a revolution The car speeds up at a rate of .0159 rad/s^2 a. Find the angular and tangential velocity after the 1/8 of a revolution b. Find centripetal and tangential acceleration after 1/8 of revolution c. Assuming the turn is not banked is it likely that the car could safely make this turn? d.Determine the dimension of angular speed w in terms of [L], [M], [T]Newton's second law for uniform circular motion
- Needs Complete typed solution with 100 % accuracy.A high-speed sander has a disk 4.10cm in radius that rotates about its axis at a constant rate of 1250 revolutions per minute. a) Determine the angular speed of the disk in radians per second. b) Determine the linear speed of a point 1.80cm from the disk's center c) Determine the centripetal acceleration of a point on the rim. d) Determine the total distance traveled by a point on the rim in 1.80s.A rock is wedged in the tread of wheel of a car and is 0.114 meters away from the center the axis of rotation). Calculate the tangential speed (in meters/second) of the rock when the wheel is rotating at 6.53 revolutions/second. Express your answer without units and as a positive number with two decimals.
- A bicycle wheel with a radius of 0.295 m is spinning clockwise at a rate of 80 rpm. a) Calculate the period of the wheel's motion. b) Calculate the centripetal acceleration of a point on the edge of the wheel if at that instant it moves westward.Find radial acceleration, tangential acceleration and acceleration shown in picture.A bicycle wheel with radius 0.32 m rotates from rest to 4.5 rev/s in 4 s.a) What is the magnitude of the centripetal or radial acceleration at the edge of the wheel at 1 s?b) What is the magnitude of the tangentialacceleration at the edge of the wheel at 1 s?c) What is the magnitude of the resultant linear acceleration at the edge of the wheel at 1 s?