Let there be a disk shaped merry-go-round of radius R = 2m and mass M = 90 kg with a 30 kg child riding on at the outer edge. It spins at a rate of 2 revolutions per second with the child on it. a. What is the initial angular velocity? b. If the child falls off, what is the new angular velocity? (hint use conservation of angular momentum)
Q: The bigclaw snapping shrimp shown is aptly named—it has one big claw that snaps shut with remarkable…
A:
Q: A cyclotron produces a beam of charged particles useful in medicine. The cyclotron accelerates…
A:
Q: roller coaster consists of a hollow cylindrical radius r=2.4 m. Riders stand along the inside of the…
A: Hollow cylindrical radius R =2.4 mAngular speed of coster w = 33 rpmMass of rider m = 50kg.
Q: s at his side, on a
A:
Q: The ball has a mass of 80 grams and is moving 10 m/s. The rod has a mass of 500 grams and a radius…
A:
Q: The bicycle tire shown has total mass of 1.10 kg and a radius of 12.0 cm. The wheel is initially…
A: As per guidelines, only 3 subparts are solved here. Given, mass, m = 1.10 kg radius = 12.0 cm =…
Q: What is the magnitude of torque that would need to be applied to stop the motion of a 10-kg ball…
A: Calculate the change in angular momentum. ΔL= I(ωi - ωf) = (10*102)(5 - 0) = 5000 kgm2s-1
Q: 4. Many microwave ovens rotate the food as it works. Say we have a microwave oven with a rotating…
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: A turntable rotates at 45 rev/min. Calculate the angular velocity of the turntable. A particle on…
A:
Q: Suppose you are whirling the ball at the end of the string with an angular velocity of rad. s Then…
A:
Q: bugs, Buzz and Crunchy, are siting on a spinning disk. The disk of radius 7.5 m spins with an…
A: Angular velocity ω = 90 degrees/ sec = π/2 rad/s = 1.57 rad/s
Q: 1. A baby's toy is made up of six beads, each of mass M on a ring of radius R. Assume the ring has…
A:
Q: Calculate the angular momentum of a 75kg person who sits 4m from the center of a rotating merry go…
A: To determine: The angular momentum of the person playing merry go round Given: Mass of person,…
Q: How much torque would it take to make the wheel speed up from rest to 1.5 rev/sec in 10 sec? b. Now…
A: The moment of inertia of a rigid body is the sum of the products of the masses of all the particles…
Q: A 1.6-kg ball of radius 25 cm rolls across level ground at 4.0 m/s without slipping. What is its…
A: mass = 1.6 kg Radius = 25 cm = 0.25 m Speed = 4 m/s Using relation between linear and angular speed…
Q: Suppose a yo-yo has a center shaft that has a 0.258 cm radius and that its string is being pulled.…
A: The radius of shaft is 0.258cm
Q: A heavy flywheel is accelerated by a motor that provides constant toque and therefore a constant…
A:
Q: A merry-go-round is spinning at a rate of 3.03.0 revolutions per minute. Cora is sitting 0.50.5 m…
A: Given that distance of Cora from the centre and distance of Cameron from the centre and also given…
Q: A baseball pitching machine is designed to deliver a baseball with a ball speed of 72 mph and a ball…
A:
Q: Several children were playing on a merry-go-round at a playground. At this time, the merry-go-round…
A: Given, the initial moment of inertia of the system, Ii=170 kg.m2 Initial angular velocity, ωi=4.1…
Q: A wheel accelerates from rest at 25 rad/s? for 6 seconds. Direction of rotation a. What is the…
A:
Q: ball on a string has a moment of inertia of 12.5 kg · m2. It experiences a torque of 5 m N.…
A:
Q: A tire is rolling with an initial angular velocity of 10.0 rad/s. It slows down with an angular…
A:
Q: A horizontal platform in the shape of a circular disk is rotating (without friction) about its…
A: Introduction: 1) Moment of Inertia: It is property possessed by the body which resist rotational…
Q: 8. A 3 kg uniform disk has a radius of 2 m. An external torque of 10 N-m is applied to the outside…
A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…
Q: a. Serena Williams and Roger Federer, both retired, are playing a casual game of tennis. Williams…
A:
Q: A break is applied to a wheel with a moment of inertia equal to 150 kg m2. The wheel's angular…
A:
Q: A 25.0 kg child sits at the outer edge of a merry-go-round that has mass 200 kg and radius 4.0 m and…
A:
Q: When kicking a football, the kicker rotates his leg about the hip joint. A. If the velocity of the…
A:
Q: An object of mass ?1 is tied to a string and allowed to revolve in a circle of radius ? on a…
A:
Q: An flywheel has an initial angular velocity of 10.1 Rad/s in the clockwise direction. If the…
A: initial angular speed (w) = -10.1 rad/secangular acceleration (α) = 4.28 rad/s2time (t) = 6.04…
Q: Wind generated 6.6% of the world’s electricity in 2021. The large-scale turbines generally rotate at…
A:
Q: Two blocks of wood (1 kg each) are connected with a 1m long rope. Another 1m long rope is tied to…
A:
Q: A kicker's extended leg with a length of 0.39m is swung from rest for 0.4 seconds in a counter-…
A:
Q: A bicycle wheel has a diameter of 700mm and a mass of 3.0 kg. Most of the mass of the wheel is in…
A: Diameter of wheel r =700 mm =700 mm×1 m1000 m=0.7 m. Mass m =3 kg. The initial speed of the wheel v1…
Q: A truck has tires with a radius of 40.0cm. If the vehicle is driven 80,000 km (80,000,000 m) before…
A: if a car travels certain distance after the wheel completes N number of revolutions then the number…
Q: The angle that a spinning disc rotates through as a function of time is given in radians as 0(t) = 2…
A: θ = 2+3t-2t2
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:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- A disc (thin cylinder) of mass 0.31 kg and radius 0.57 m is rotating on a frictionless axle at a constant rate of 81 RPM. What is the moment of inertia for this disc? b. A second disc of 0.12 kg and 0.49 m is dropped down the axle on top. The two then rotate together. What is the final moment of inertia for both discs together?5. A car m = 1230. kg has wheels with a radius R = 0.230 m. The car starts at rest and the wheels are given an angular acceleration a = 9.11 raa2 velocity of the car after this time? Assume the tires do not slip during this process. s2 for a time t = 5.34 s. What is theThe Tasmanian Devil has a twist angular momentum which increases from 0 to 50kg·m2/s in 0.25 s as he initiates a twisting jump (his famous tornado). During this 0.25 s,his moment of inertia about his twisting axis is 2.2 kg·m2.a. How large is the average torque that produces this change in angular momentum?b. How fast is his twist angular velocity at the end of the 0.25 s?A 200 Nm
- A monkey has a 50 cm long tail swinging through circular arcs. a. The moneky prepares to swing through a semicircular arc by grabbing a branch 50 cm in front.What is the angular acceleration as she begin to drop? b. What is the monkeys linear speed at the bottom of this arc, 50 sm below starting point? What is her angular speed? c. The monkey has a mass of 10 kg. What is the tension in her tail at the bottom of the arc?SP1. A merry-go-round in the park has a radius of 1.8 m and a rotational inertia of 900 kg-m². A child pushes the merry- go-round with a constant force of 80 N applied at the edge and parallel to the edge. A frictional torque of 12 N-m acts at the axle of the merry-go-round. a. What is the net torque acting on the merry-go-round about its axle? b. What is the rotational acceleration of the merry-go- round? c. At this rate, what will the rotational velocity of the merry-go-round be after 15 s if it starts from rest? d. What is the rotational acceleration of the merry-go- round if the child stops pushing after 15 s? How long will it take for the merry-go-round to stop turning?You and your friend ride a merry-go round. You sit further away from center (2r) but your friend sits closer to the center (r). If the angular speed of the system is a constant, what can you say about following for you and your friend?a. linear speed? b. Angular speed?c. radial acceleration?b. tangential acceleration? 2c. if the ride starts with zero angular speed and run with constant angular acceleration of 2.00 rad/sradius 4m circle., calculate final angular displacement and linear displacement you and your friend travel?
- 2. A yo-yo consists of two solid disks, each of mass M and radius 3R. The two disks are connected by a rod of radius R and negligible mass. Assume the yo-yo starts at rest. a. Use the view on the right to draw the extended free body 3R diagram for the yo-yo. b. What is the moment of inertia of the yo-yo about an axis through its symmetry axis? м м c. Write Newton's 2nd law for the yo-yo. Choose your coordinate system carefully. d. Write the rotational form of Newton's 2nd law for the yo-yo. Treat the center of mass as being at the axis of rotation. Choose the positive direction of the rotation so a is positive. e. The point where the yoyo is momentarily at rest is where the string contacts the rod of the yo-yo. Use this to obtain a relation between the acceleration of the center of mass and the angular acceleration. f. Determine the linear acceleration of the yo-yo.5. A 108 cm, 0.73 kg golf club is swung from rest for 0.5 seconds with a constant acceleration of 10 rad/s2.a. What is the angular velocity of the club head when it impacts the ball? b. What is the angular momentum of the club head when it impacts the ball? please show all steps, work, and formulasAsap like
- A disk is initially rotating counterclockwise around a fixed axis with angular speed w0. Answer the questions below. A. What is the net torque acting on the disk if the radius is 0.6 m? B. If the moment of inertia of the disk is 4kg ∙ m^2, what is the angular acceleration of the disk? C. If the initial angular velocity is 6 rad/s counterclockwise, what is the angular velocity after 10 seconds? D. What happens to the angular velocity of the disk over time? Sketch a graph!The rotating blade of a blender turns with a constant angular acceleration 1.50(rad/s²]. A. How much time does it take to reach an angular velocity of 36. 0 [rad/s] starting from rest? Through how manry revolutions does the blade turn in this time interval? C. What are the tangertial acceleration and tangential speed of an ant sitting on the blade 10.0 [cm) from the axis of rotation during the end of this irterval? D. What is the moment of inertia ofthe ant if its mass is 10.0 (g? E. What is the rotational kinetic energy of the ant? B.A ship's wheel can be approximated as an annular cylinder (different from a ring) of mass 6.7 kilograms, inner radius 25 centimeters, and outer radius 32 centimeters; and eight spokes of mass 0.50 kilograms and length 49 centimeters. a. What is the moment of inertia? Include units in your answer. More information. b. Disagreeing over which way to go, the captain and the helmsman try to turn the wheel in opposite directions. The captain applies a force of 311 newtons at the inner radius, while the helmsman applies a force of 287 newtons at the outer radius. What is the magnitude of the angular acceleration of the wheel? Include units in your answer.