A diver goes into a somersault during a dive by tucking her limbs. If her rotational kinetic energy is 102 J and her moment of inertia in the tuck is 8.3 kg-m², what is her rate of rotation during the somersault? W = 4.95 o rad/s Express your answer here in rev/s: Wrev = rev/s Question Help: Read
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- A bowling ball is (more or less) a solid sphere of mass 7.24 kg and radius 0.109 m. If it is rolling at 7.00 m/s, what is its ROTATIONAL KE? [? ] J Remember: v = wr -2023 International Academy of Science. All Rights Reserved. C 9 DELL Enter AA uniform ball of radius 0.1 m and mass 1 kg is released from rest on a no-slip surface, as shown in the figure, at a height of 2m. a. If the ball’s speed at the bottom is 5.29 m/s, what is its rotational kinetic energy? b. What is its translational kinetic energy? c. If there were no friction, what speed would it reach the bottom with?MY NOTE A uniform solid ball rolls smoothly along a floor, then up a ramp inclined at 16.0°. It momentarily stops when it has rolled 1.90 m along the ramp. What was its initlal speed? m/s Submit Answer 16 Rointsl DETAILS HRW10 11 R. 020 MY NOTE
- e One way to store energy is in the rotational motion of a flywheel, and some have proposed using suchtechnology to power automobiles. One unit is based on a 6.0-kgflywheel in the shape of a hoop of radius 0.10 m that spins as fastas 60,000 rpm. (a) How much kinetic energy is stored by the flywheel when it is rotating at its maximum rate? (b) If the vehiclerequires an average power of 11 kW under normal driving conditions, for how much time can it operate with the energy stored inthe flywheel?2.4 m B 30° plz help use g =9.8 The radius of a 6.2-kg wheel is 23.3 cm. The wheel is released from rest at point A on a 30-degree incline, as shown. The wheel rolls without slipping and moves 2.4 m to point B in 7.7 s. Determine the moment of inertia of the wheel. Express your answer in kg m², to at least a digit after the decimal point.Three point masses ma, mB and mc are located in the x-y plane at points A, B and C as shown in Figure They are connected together by massless rods. Find the kinetic energy of the system if it rotates with an angular speed of 4.0 rad/s about the z-axis passing through point A. Fig# y mg = 0.10 kg 0.30 m 0.40 m A m, = 0.30 kg mc = 0.20 kg A) 0.46 J В) 0.69 J C) 0.21 J D) 1.2 J E) 2.5 J
- ΔΔΔΔΔΔΔΔΔΔΔΔΔΔ ΔΔΔΔΔΔΔΔ 2. When Josh begins his discus throwing motion, he spins with an angular velocity of 5 rad/s. Just before he releases the discus, Josh's angular velocity is 25 rad/s. If the time from the beginning of the throw to just before release is 1 s, what is Josh's average angular acceleration? 650103 ομ alapits sont besogneA figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65 s. What was her average angular velocity in radians/second? A 720rad/s B 19.3rad/s C 4? rad/s D 9.67 rad/s E 1107 rad/sA hollow cylinder (hoop), a solid cylinder (disk), and a solid sphere, each of mass M and radius R, roll down a hill of height h. b. Rank the objects based on their rotational kinetic energy at the bottom of the hill. Rank the one with the most energy 1, etc. If two are equal, give them the same ranking. hoop___________ disk_______________sphere_______________Justify your ranking.
- Small bodies of mass m1 and m₂ are attached to opposite ends of a thin rigid rod of length L and mass M. The rod is mounted so that it is free to rotate in a horizontal plane around a vertical axis (see below). What distance d from m₁ should the rotational axis be so that a minimum amount of work is required to set the rod rotating at an angular velocity w? (Use any variable or symbol stated above as necessary.) d= m₁ -L-d MY NOTES m₂Rotational quantities must be treated as vectors for general rotational motion, such as when the axis of rotation can change directions. Use the right hand rule for angular velocity to determine the direction of the angular velocity for the motion shown below. +y +x +z (out) O +x O zero O -y O +z O +y O -x -z O o o o o oA m = 2kg ring has a radius of r = 0.5m. The moment of inertia of a ring is I = m r². The ring has an initial speed of v= 1 m/s on the horizontal surface. It rolls, without slipping, along the surface and up the ramp, where it stops when it reaches a height h. a) What is the angular velocity of the ring when it is on the horizontal surface? v=1m/s b) While the ring is on the horizontal surface, what is the speed of a point at the top of the ring? c) Use Conservation of Energy to find the maximum height of the ring, h. Show all your work. Solve the problem using variables. Only substitute numbers in the very last step. d) How would the maximum height change in each of the following situations? Put an X in the correct answer for each statement. The ring has a larger mass m (same r and v) The ring is replaced with a solid disc (same m, r, and v) There is no friction and the ring slides instead of rolling (same m, r, and v) Higher v=0 Lower Same height h