A bowling ball with a mass of 7.0 kg, a radius of 11 cm and a rotational inertia of 0.034 kg/m2 rolls down a lane at a velocity of 4.3 m/s. Determine the total kinetic energy of the bowling ball. Hint: If a ball is rolling without slipping then ω=v/r. The total kinetic energy is the rotational kinetic energy plus the translational kinetic energy.
Q: Yo-yo has a mass m, an inner radius r and an outer radius R. The rotational inertia of the yo-yo is…
A: Torque produced is the product of Rotational inertia and angular acceleration torque=Iα Torque is…
Q: Flywheels are large, massive wheels used to store energy. They can be spun up slowly, then the…
A:
Q: A wheel with a radius of 0.33 m and rotational inertia 2.0 kgm2 spins on an axle with an angular…
A: Given:- The radius of the wheel r= 0.33 m rotational inertia I=2.0 kgm2 an angular speed of…
Q: A 25-kg piece of steel pipe that is 20 cm in diameter, 80 cm long, is rolling toward you at a speed…
A: The diameter of the pipe d=20 cm The radius of the pipe r=d2=10cm=0.10 m The velocity of the pipe…
Q: A bicycle tire is spinning clockwise at 2.00 rad/s. During a time period Δt = 1.70 s, the tire is…
A: Given: A bicycle tire is spinning clockwise initially at ωi=-2.00 rad/s (negative sign for spinning…
Q: A cylinder of mass 12.0 kg rolls without slipping on a horizontal surface. At a certain instant its…
A:
Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…
A:
Q: Please help: When a pitcher throws a curve ball, the ball is given a fairly rapid spin. A. If a…
A: Given data: m=0.15 kgv=42 m/sω=43 rad/sr=3.7 cm Need to determine the rotational and translational…
Q: The figure gives the speed v versus time t for a 0.522 kg object of radius 9.77 cm that rolls…
A: See below
Q: A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in…
A:
Q: Mary is an avid game show fan and one of the contestants on a popular game show. She spins the…
A: The angle through which the wheel spin in 5.5 revolutions is, Δθ=5.52π rad=11π rad The equation of…
Q: The radius of a wheel is 0.700 m. A rope is wound around the outer rim of the wheel. The rope is…
A: Given, The radius of a wheel is r = 0.700 m
Q: A 35-kg child stands on the edge of a playground merry-go-round that has a radius of 2.1 m and a…
A: The mass of the child: The radius of the merry-go-round: The rotational inertia: The initial…
Q: How long does it take for the rotational kinetic energy to become half its initial value, so it is…
A: Given, Moment of inertia, I=12kgm2 Initial kinetic energy, Ki=30J The magnitude of angular…
Q: The rigid object shown below consists of three balls and three connecting rods, with M = 1.6 kg, L =…
A: Given, Mass, M=1.6kg θ=30° Angular speed, ω=1.2rad/s a. Moment of inertia about an axis passes…
Q: A playground merry-go-round of radius R 2.03 m has a moment of inertia of I 29.1 kg child hops onto…
A: Given information:
Q: A hollow spherical shell (Ishell = 2/3 M R2) has a mass of 4.64 kg and radius 0.220 m. It is…
A:
Q: To stretch pizza dough into a perfect shape a chef throws the dough spinning around its symmetry…
A:
Q: A lawn mower has a flat, rod-shaped steel blade that rotates about its center. The mass of the blade…
A: mass = 0.65 kg Length (L) = 0.55 m
Q: A 150 g baseball is pitched at 36.54 m/s and spinning at 42 rad/s. You can treat the baseball as a…
A:
Q: a child pedals her tricycle giving her driving wheel an angular speed of w=0.856 rev/s. The total…
A:
Q: An airplane propeller is 1.99 m in length (from tip to tip) with mass 108 kg and is rotating at 2200…
A:
Q: Y 5.9 cm 16.9 kg 90° 1.46 kg pivot K 31.3 cm→ 1.46 kg
A: Given, L = 0.313 m m = 1.46 kg M = 16.9 kg R = 0.0295 m We know that, Moment of inertia of the rod:…
Q: A small fan has blades that have a radius of 0.0600 m. When the fan is turned on, the tips of the…
A: Given data: Radius (r) = 0.0600 m Tangential acceleration (a) = 22.4 m/s2 Required: Angular…
Q: propeller is modeled as five identical uniform rods extending radially from its axis. The length and…
A: Length l = 0.705 m Mass m = 2.91 kg Angular speed = 553 rpm = 553 × 2π /60…
Q: A skater is spinning about a fixed symmetrical vertical axis. When she lifts her arms above her…
A:
Q: A person is riding a bicycle, and its wheels have an angular velocity of 17.06 rad/s. Then, the…
A:
Q: A bowling ball that has a radius of 11.0 cm and a mass of 7.00 kg rolls without slipping on a level…
A: radius of bowling ball (r) = 11 cm = 0.11 m mass of bowling ball (m) = 7 kg angular velocity (ω) = 4…
Q: You have two cylinders, both of mass m and radius r. One cylinder is solid and the other is hollow.…
A: Given that they both are rotting with same angular speed ωand rotational kinetic energy is given…
Q: A 4 kg ball with a 0.5 m radius rolls at a constant 4 rad/s. The rotational inertia of the ball is…
A: Given that,Mass, m=4 kgradius, r=0.5 mAngular velocity, ω=4 rad/sRotational Inertia,I=0.5 mr2We know…
Q: A top has a moment of inertia of 4.8 kg-m2. The top is spinning at 35 rpm. How much rotational…
A: rotational kinetic energy= 64.30 joules
Q: Your grandmother enjoys creating pottery as a hobby. She uses a potter's wheel, which is a stone…
A:
Q: The drive chain in a bicycle is applying a torque of 0.850 N ∙ m to the wheel of the bicycle. The…
A: Given data: Torque (τ) = 0.850 N.m Moment of inertia (I) = 0.100 kg.m2 Required: Angular…
Q: 11.8 kg solid sphere (radius = .450 m) is released from rest at the top of a ramp and allowed to…
A:
Q: A system of point particles is shown in the figure. Each particle has mass 1.0 kg and they all lie…
A:
Q: a. If the ball is released from rest at a height of 0.61 m above the bottom of the track on the…
A:
Q: A propeller is modeled as five identical uniform rods extending radially from its axis. The length…
A: Moment of inertia of each rod = (1/3) M L2 Therefore, moment of inertia of 5 rods = (5) * (1/3) M L2…
A bowling ball with a mass of 7.0 kg, a radius of 11 cm and a rotational inertia of 0.034 kg/m2 rolls down a lane at a velocity of 4.3 m/s. Determine the total kinetic energy of the bowling ball. Hint: If a ball is rolling without slipping then ω=v/r. The total kinetic energy is the rotational kinetic energy plus the translational kinetic energy.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
- A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in each of her hands. Her outstretched hands are 0.745 m from the axis of rotation, which passes through her head into the center of the stool. When she symmetrically pulls the weights in closer to her body, her angular speed increases to 40.5 rpm. Neglecting the mass of the professor, how far are the weights from the rotational axis after she pulls her arms in? distance: about us careers privacy policy terms of use contact us help tv W MacBook Air 8828A professor sits on a rotating stool that is spinning at 10.0 rpm while she holds a heavy weight in each of her hands. Her outstretched hands are 0.795 m from the axis of rotation, which passes through her head into the center of the stool. When she symmetrically pulls the weights in closer to her body, her angular speed increases to 20.5 rpm. Neglecting the mass of the professor, how far are the weights from the rotational axis after she pulls her arms in?A solid uniform spherical boulder travels down a hill. At the top of the hill the boulder is rolling with a horizontal speed of 5 m/s. The top half of the hill is rough, so that the boulder continues to roll without slipping. The bottom half of the hill and the valley is covered in smooth ice, so that there is no static friction between the boulder and the hill. How fast is the boulder moving when it gets to the bottom of the hill? What is its rotational speed in the valley if the boulder has a radius of 10 cm? Rough 50.0 m Smooth
- A 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 horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 2.36 m and a rotational inertia of 218 kg-m2 about the axis of rotation. A 72.6 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 2.07 rad/s when the student starts at the rim, what is the angular speed when she is 0.433 m from the center? Number i UnitsA solid disk of uniform density and mass M = 0.950 kg with radius R = 0.250 m is suspended vertically and is free to rotate about its center without friction. A point object that has the same mass as the disk is placed at an angle 0 = 25.0° clockwise from the top along the rim, causing the disk to rotate. The acceleration due to gravity is g=9.81m/s². What is the angular speed wf of the disk when the point object is directly below the center of the disk? R 0.
- A spherical shell with 0.13 kg of mass and 0.050 m of radius rolled without slipping on a horizontal floor. A ramp was placed on the floor. The spherical shell rolled up the incline without slipping to a vertical height of 0.46 m before stopping. The ramp has a length of 1.8 m along the incline. Find the speed of the spherical shell before it reached the ramp. Hint: the spherical shell has rotational kinetic energy. The rotational inertia of a spherical shell is (2/3)mr^2.Your grandmother enjoys creating pottery as a hobby. She uses a potter's wheel, which is a stone disk of radius R = 0.540 m and mass M = 100 kg. In operation, the wheel rotates at 45.0 rev/min. While the wheel is spinning, your grandmother works clay at the center of the wheel with her hands into a pot-shaped object with circular symmetry. When the correct shape is reached, she wants to stop the wheel in as short a time interval as possible, so that the shape of the pot is not further distorted by the rotation. She pushes continuously with a wet rag as hard as she can radially inward on the edge of the wheel and the wheel stops in 6.00 s. You would like to build a brake to stop the wheel in a shorter time interval, but you must determine the coefficient of friction (?k) between the rag and the wheel in order to design a better system. You determine that the maximum pressing force your grandmother can sustain for 6.00 s is 65.0 N. What If? If your grandmother instead chooses to press…Two wheels A and B in the figure are connected by a belt that does not slip. The radius of B is 6.96 times the radius of A. What would be the ratio of the rotational inertias IA/IB if the two wheels had (a) the same angular momentum and (b) the same rotational kinetic energy?
- A pulley with an unknown mass has a 0.3m radius that is initially at rest. The rotational inertia of the pulley is 0.35 mr^2. A 10 kg box hangs from a rope that is wrapped around the pulley that is also initially at rest. The box accelerates downward a distance of 10m and reaches a velocity of 8 m/s. Calculate the mass of the pulley. Answers must use the correct SI units.A top has a rotational inertial of 0.0035 kgm2 and is spinning at a frequency of 68 rpm. Determine the rotational kinetic energy of the top. Express your answer in mJ.A pulsar is a rapidly rotating neutron star that continuously emits a beam of radio waves in a searchlight manner. Each time the pulsar makes one revolution, the rotating beam sweeps across the earth, and the earth receives a pulse of radio waves. For one particular pulsar, the time between two successive pulses is 0.027 s. Determine the average angular speed (in rad/s) of this pulsar. rad/s