A 100-kg rider on a moped of mass 80 kg is traveling with a speed of 20 m/s. Each of the two wheels of the moped has aradius of 1 m and a moment of inertia of 2 kgm2 . What is the total rotational kinetic energy of the wheels
Q: A disk is rotating about a vertical axis of rotation without displacing with an initial angular…
A:
Q: A spinning figure skater who brings their arms close in to their body will then spin faster. The…
A:
Q: A spinning figure skater who brings their arms close in to their body will then spin faster. The…
A: Given Mass of the skater is M=50 kg Length of the arm is Ri=0.8 Ω Initial angular speed is ωi=2…
Q: A small circular object with mass m and radius r has a moment of inertia given by I = cmr^2 . The…
A:
Q: One elevator arrangement includes the passenger car, a counterweight, and two large pulleys. Each…
A:
Q: A soccer player extends her lower leg in a kicking motion by exerting a force with the muscle above…
A:
Q: Two disks are rotating about the same axis. Disk A has a moment of inertia of 3.52 kg.m² and an…
A: The moment of inertia of the disk A is The angular velocity of the disk A is The angular velocity of…
Q: A wheel of mass 1Kg and a radius of 0.5 meters is initially at rest. A constant torque of 6 Nm is…
A:
Q: In the figure, a wheel of radius 0.364 m is mounted on a frictionless horizontal axis. The…
A:
Q: A disk is rotating about a vertical axis of rotation without displacing with an initial angular…
A: Since there is no external torque acting on system(disk and two children). Angular momentum must…
Q: The net work done in accelerating a rotating object from rest to an angular speed of 204.22 s^-1 is…
A: Work done ( W ) = 5.15 kJ Object accelerated to angular speed ( ωf ) = 204.22 s-1 Initially object…
Q: A 330 kg motorcycle includes two wheels, each of which is 48 cm in diameter and has rotational…
A: Given, motorcycle mass,mmc = 330kg Rider mass,m =61kg Speed,v= 90Km/hr=25m/s Rotational inertia, I=…
Q: At time t = 0, a 3.0 kg particle with velocity v = (5.0 m/s)i - (6.0 m/s)j is at x = 3.0 m, y = 8.0…
A: Mass of particle is Velocity is Position coordinates of particle are Force is acting along…
Q: A sphere of radius 1.34 cm1.34 cm and a cylinder of radius 6.97 cm6.97 cm are rolling without…
A:
Q: A helicopter has two blades (see figure), each of which has a mass of 240 kg and can be approximated…
A: Given: The mass of each blade is 240 kg. The length of the blade is 6.7 m. The angular speed is 57…
Q: A solid disk of radius R=80cm rotated about its center at an angular speed of 61 revolutions per…
A: The rotational kinetic energy is the rotational analog of the linear kinetic energy of an object. It…
Q: Two disks are rotating about the same axis. Disk A has a moment of inertia of 7.22 kg-m² and an…
A: Given Information:- Moment of inertia of disk A is IA=7.22 kg.m2 Initial angular speed of A is…
Q: A disk is rotating about a vertical axis of rotation without displacing with an initial angular…
A: Moment of inertia of disk is Id = 50 kg.m² Moment of inertia of 40 kg child is I1 = 80 kg.m²…
Q: To drive a typical car at 40 mph on a level road for one hour requires about 3.2 × 10^7 J of energy.…
A: We have a wheel of mass m=450 kg and diameter d=1.26 m which is spinning with a angular velocity say…
Q: To drive a typical car at 40 mph on a level road for one hour requires about 3.2 × 10^7 J of energy.…
A: We've to use angular equation of Kinetic energy to solve the question.
Q: Basketballs are basically hollow spheres with moment of inertia 2/3 MR?. One basketball has diameter…
A:
Q: A bicycle has wheels of radius 0.320 m. Each wheel has a rotational inertia of 0.0800 kg⋅m2 about…
A:
Q: A solid disk rotates in the horizontal plane at an angular velocity of 0.042 rad/s with respect to…
A: Given, a solid disk rotates in the horizontal plane at an angular velocity of ωi=0.042 rad/s with…
Q: A disk is rotating about a vertical axis of rotation without displacing with an initial angular…
A:
Q: Consider a basketball player spinning a ball on the tip of a finger. If a player performs 1.95 J of…
A: Given: mass of the ball (m) = 0.624 kg circumference (C) = 0.749 m Work…
Q: A typical helicopter with four blades rotates at 240 rpm and has a kinetic energy of 3.45 105 J.…
A: The kinetic energy, KE=3.45×105 J The angular speed, ω=240 rpm×2π rad1 rev×1 min60 s=25.13 rad/s
Q: A bowling ball has a mass of 4 kg, a moment of inertia of 0.23104 kg m^2, and a radius of 0.38m. It…
A: Mass of bowling ball (m) =4kg Moment of inertia (I) = 0.23104 kg.m2 Radius of bowling ball( r)…
Q: A wheel rotates clockwise about its central axis with an angular momentum of 600Kg.m 2 /s. At time…
A: Given: The angular momentum is ω=600 kg-m2/s. The torque is T=50 N-m. The expression for angular…
Q: A thin rod has a length of .340 m and rotates in a circle on a frictionless tabletop. The axis is…
A: Length of the rod, r = 0.340 mInitial angular velocity of the rod, w1 = 0.435 rad/sMoment of inertia…
Q: When your new Peloton bike indicates that you are burning the maximum number of calories, the chain…
A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…
Q: A disk is rotating about a vertical axis of rotation without displacing with an initial angular…
A: Initial angular velocity (ω) = 10 radsInertia of disk (I1) = 50 kg.m2Inertia of child (I2) = 80…
A 100-kg rider on a moped of mass 80 kg is traveling with a speed of 20 m/s. Each of the two wheels of the moped has aradius of 1 m and a moment of inertia of 2 kgm2 . What is the total rotational kinetic energy of the wheels
Unlock instant AI solutions
Tap the button
to generate a solution
Click the button to generate
a solution
- A solid disk rotates in the horizontal plane at an angular velocity of 0.0652 rad/s with respect to an axis perpendicular to the disk at its center. The moment of inertia of the disk is 0.113 kg·m2. From above, sand is dropped straight down onto this rotating disk, so that a thin uniform ring of sand is formed at a distance of 0.393 m from the axis. The sand in the ring has a mass of 0.487 kg. After all the sand is in place, what is the angular velocity of the disk?A horizontal vinyl record of mass 0.0855 kg and radius 0.101 m rotates freely about a vertical axis through its center with an angular speed of 4.18 rad/s and a rotational inertia of 2.64 x 10-4 kg·m2. Putty of mass 0.0253 kg drops vertically onto the record from above and sticks to the edge of the record.What is the angular speed of the record immediately afterwards?A sphere of mass 2.2 kg and radius 9 cm rolls without sliding along a horizontal surface.It has a total kinetic energy of 2.4 J. How long does it take to complete 10 revolutions?
- Modern wind turbines generate electricity from wind power. The large, massive blades have a large moment of inertia and carry a great amount of angular momentum when rotating. A wind turbine has a total of 3 blades. Each blade has a mass of m = 5500 kg distributed uniformly along its length and extends a distance r = 44 m from the center of rotation. The turbine rotates with a frequency of f = 15 rpm. Calculate the angular momentum of the wind turbine, in units of kilogram meters squared per second.A bicycle wheel with a radius of 350 mm and a mass of (2.40x10^0) kg is spinning freely on a work stand at a rate of 2.0 rev/sec when a (1.0000x10^0) kg kitten jumps on it radially, holds on and starts spinning around. What is the new rotational velocity of the wheel in units of rev/s? Treat the wheel as a thin hoop. Give your answer with three significant figures.(a)What is the moment of inertia (in kg · m2) of the system about the given axis? kg · m2 (b)If the system rotates at 4.6 rev/s, what is its rotational kinetic energy (in J)? J
- A student sits on a rotating stoll holding two 8.0kg objects. When his arms are extended horizontally, the objects are 1.3m from the axis rotation and he rotated with an angular speed of 1.8rad/s. The moment of intertidal of the student plus stoll is 4.5kg•m^2 and is assumed to be constant. if the student pulls in the two objects horizontally to 0.50m from the rotation axis. What is the new angular speed in rad/s of the student? (3 sig fig)A solid disk rotates in the horizontal plane at an angular velocity of 4.50 x 10-2 rad/s with respect to an axis perpendicular to the disk at its center. The moment of inertia of the disk is 0.13 kg.m?. From above, sand is dropped straight down onto this rotating disk, so that a thin uniform ring of sand is formed at a distance of 0.40 m from the axis. The sand in the ring has a mass of 0.50 kg. After all the sand is in place, what is the angular velocity of the disk?A thin, 70.0 g disk with a diameter of 6.50 cm rotates about an axis through its center with 0.200 J of kinetic energy. What is the moment of intertia of the disk? (kg·m2) What is the speed of a point on the rim? (m/s)