If the kinetic energy of a body about an axis is 9J and the moment of inertia is 2kg- m², then the angular velocity of the body about the axis of rotation in rad/sec is :- 02 3 1
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- A medical saw is rotating at a constant rate of 15 revolutions per second. Calculate its angular speed in rad/s.21 g = 10 m/s^2Rigid rods of negligible mass lying along the y axis connect three particles.: m1=4kg at (0,3)m, m2=2kg at (0,-2)m, m;=3 kg at (0,-4)m. If the system rotates about the x axis with an angular speed of 2.6 rad/s, what is the kinetic energy of the system (in ). 4.00 kg y 3.00 m 2.00 kg y = -2.00 m 3.00 kg y = -4.00 m 621.92 249.60 119.60 310.96
- A merry-go-round rotates at the rate of 0.25 rev/s with an 75-kg man standing at a point 2.0 m from the axis of rotation. (a) What is the new angular speed when the man walks to a point 1.0 m from the center? Assume that the merry- go-round is a solid 25-kg cylinder of radius 2.0 m. rad/sec (b) Calculate the change in kinetic energy due to this movement. How do you account for this change in kinetic energy? O Wind resistance varies as the square of the speed. O Work is done by the merry-go-round on the man as he moves towards the center. O The moment arm of the man about the axis of rotation decreases. O Work is done by the man on the system as he moves towards the center.Problem 1: A wheel with radius 10.8 cm starts from rest and increases its rotational speed until it reaches an angular velocity of 34.8 rad/s in 7.3 s. Part (a) What is the angular acceleration in rad/s2? a = rad/s2 sin() cos() tan() 7 8. 9 НOME cotan() asin() аcos() ↑^|^L 4 5 atan() acotan() sinh() 1 3 cosh() tanh() cotanh() + END O Degrees VOL BACKSPACE DEL CLEAR Part (b) Through what angle, in radians, does the wheel rotate during this time?playground merry-go-round of radius R=2.00m has a moment of inertia? = 250??. ?2 and is rotating at 10.0 ???/??? about a frictionless vertical axle. Facing the axle, a 25.0-kg child hops onto the merry-go-round from the ground and manages to sit down on its edge. What is the new angular speed of the merry-go-round?
- A disk, initially rotating at 101 rad/s, is slowed down with a constant angular acceleration of magnitude 3.90 rad/s?. (a) How much time does the disk take to stop? (b) Through what angle (rad) does the disk rotate during that time? (a) Number Units (b) Number i UnitsThe angular acceleration of a wheel is a = 6.0t“ - 7.0t2, with a in radians per second-squared and t in seconds. At time t = 0, the wheel has an angular velocity of +6 rad/s and an angular position of +4 rad. Write expressions for (a) the angular velocity (rad/s) and (b) the angular position (rad) as functions of time (s). (a) Number t5. i t3+ i Units (b) Number i t6- i t4+ i t+ i UnitsThe Earth has a mass m = 6.0 x1024 kg, and a radius R = 6400 km. It rotates about its own axis and it orbits around the sun at a distance d = 1.5x1011 m. What is its total angular momentum of Earth due to: Its spinning motion about its Its orbital motion about the
- The moment of inertia of an object about a certain axis is 1.2 kg-m2. Initially the object is at rest, and then it is accelerated at a constant rate of 25 rad-s-2. Determine the time required for the object to achieve a rotational kinetic energy of 1.50 kJ.Hi please help: a solid disk of radius R= 70 cm rotates about its center at an angular speed of 43 revolutions per minute. The mass of the disk is M= 7.7 kg. The moment of inertia of a solid disk is given by 1/2 MR^2. What is the rotational kinetic energy (in Joules) of the disk? Answer with three significant figuresThe graph below shows the the angular velocity w as a function of time t for a point on a rotating disk. 10- 8+ 6- 2- 0+ 2 3 t (s) The magnitude of the angular displacement of the disk from t = 0 s to t= 4 s, is most nearly O 40 rad O 16 rad O 24 rad O 32 rad w (rad/s) 4.