A uniform disk of mass 7 kg and radius 0.2 m is free to rotated about an axis perpendicular to its center. A constant force of size 146 N acts at the edge of the disk, in a direction tangent to that edge. The force acts until the disk has completed 169 full rotations. What is the angular momentum of the disk after those rotations are complete, in kg m2/s? It could be useful to you to know that the rotational inertia of a uniform disk is 1/2 M R2. (Please answer to the fourth decimal place - i.e 14.3225)
Q: A disk is rotating about a vertical axis of rotation without displacing with an initial angular…
A:
Q: Problem 4: A disk of radius R = 0.5 m has a moment of Inertia I = 0.025 kg m and it is rotating at…
A: Radius of disk (R) = 0.5 m Moment of inertia (I) of disk = 0.025 kg-m2Initial angular velocity (ω) =…
Q: A turntable of radius R=1.60 m and mass M=32.2 kg rotates counterclockwise in a horizontal plane…
A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…
Q: A ring (mass 2 M, radius 2 R) rotates in a CCW direction with an initial angular speed 1 ω. A disk…
A:
Q: A fan has four blades attached to a central shaft. The blades are If = 15 cm long and each blade…
A:
Q: A 5 kg sticky mass is moving at a constant 2 m/s towards a rod that's fixed on its right side,…
A: As it is a multiple question, I answer the first question. Please resubmit the…
Q: Calculate the angular velocity of the rod and mass after the collision.
A: The travelling mass has an angular momentum with respect to the axis of rotation of the rod, thus…
Q: A 5 kg sticky mass is moving at a constant 2 m/s towards a rod that's fixed on its right side,…
A:
Q: Is the angular momentum of the block conserved?
A: From conservation of angular momentum, the angular momentum of block remains conserved as long as…
Q: energetics of rotational motion. it is not incomplete, don't reject it.
A: the acceleration of the object having radius R and moment of inertia I is given by: a=gsinθ1+IMR2…
Q: When some stars use up their fuel, they undergo a catastrophic explosion called a supernova. This…
A: The moment of inertia of a sphere having radius R.
Q: Joey, whose mass is 36 kg, stands at the center of a 200 kg merrygo- round that is rotating once…
A: Given mass of Joey m=36 kgmass of merry go round m1=200 kgWhen Joey is all the centerIt is…
Q: A 30 g block sits at the center of a turntable that rotates at 65 rpm. A compressed spring shoots…
A:
Q: A sanding disk with rotational inertia 1.7 x 10-3 kg · m² is attached to an electric drill whose…
A:
Q: 5 kg sticky mass is moving at a constant 2 m/s towards a rod that's fixed on its right side, acting…
A:
Q: A ring (mass 2 M, radius 2 R) rotates in a CCW direction with an initial angular speed 1 ω. A disk…
A:
Q: A uniform disk of mass 19 kg and radius 0.6 m is free to rotated about an axis perpendicular to its…
A: Answer: Let the mass of the disk be M, the radius of the disk be R, the magnitude of the force…
Q: A sanding disk with rotational inertia 0.0012 kg-m2 is attached to an electric drill whose motor…
A:
Q: a frictionless surface. The axle has a radius of ?=3.21 mm. Two strings are wrapped around the axle,…
A:
Q: From classical physics, we know that angular momentum, moment of inertia, and angular velocity are…
A: Concept:As mentioned in the Question the relationship between angular momentum, a moment of inertia,…
Q: A sanding disk with rotational inertia 3.5 x 103 kg-m² is attached to an electric drill whose motor…
A: When a rigid body is rotating about a fixed axis, then every point of the body rotates in a circle…
Q: A merry-go-round rotates around the vertical axis or rotation has no friction, its moment of inertia…
A:
Q: A 5 kg sticky mass is moving at a constant 2 m/s towards a rod that's fixed on its right side,…
A:
Q: A uniform stick 1.4 m long with a total mass of 260 g is pivoted at its center. A 4.0-g bullet is…
A:
Q: Flywheels are solid, uniform disks that spin around an axis running through their center of mass and…
A: Write the expression for the kinetic energy of rotation. Here, E represents the energy, R…
Q: A sanding disk with rotational inertia 0.0012 kg-m² is attached to an electric drill whose motor…
A:
Q: A disk of mass M is spinning freely at 9.11 rad/s when a second identical disk, initially not…
A: Given data: Angular velocity, ω=9.11 rad/s
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: A mountain biker takes a jump in a race and goes airborne. The mountain bike is travelling at 10.0…
A:
Q: A 10-g, 7.0-cm-long spinner on a numbers wheel in a board game is fastened 1.0 cm from one of its…
A:
Q: A 5 kg sticky mass is moving at a constant 2 m/s towards a rod that's fixed on its right side,…
A: Consider the following figure which represents the rod and mass system before and after the…
Q: A 5 kg sticky mass is moving at a constant 2 m/s towards a rod that's fixed on its right side,…
A: Answer: ω= 0.147 rad/s Explaination: m= 5 kg initial angular momentum;…
Q: A hoop, a solid cylinder, a solid sphere, and a thin spherical shell each has the same mass of 2.78…
A: Given, A hoop , a solid cylinder , a solid sphere and a thin spherical shell and each has the same…
Q: In (Figure 1), take m₁ = 3 kg and mB = 5 kg. Figure 5m 8 m/s 4 m m/ 1.5 m O 1 2 m 4 m B O ma 30° 1m…
A:
Q: In (Figure 1), take m₁ = 3.4 kg and mg = 5 kg. Figure 5m 4 m 1.5 m 0 4 m m ▾ Part A Determine the…
A:
Q: In (Figure 1), take m₁ = 3.2 kg and mp = 4.6 kg. Figure Part A Determine the z component of the…
A: Given Data: Mass A (mA) = 3.2 kg.Mass B (mB) = 4.6 kg. To Determine: Part A: The z-component of…
Q: What is the angular momentum of the disk after those rotations are complete, in kg m2/s?
A: Moment of Inertia The moment of inertia of a rigid body about an axis is defined as the sum of the…
Q: A 24 g block sits at the center of a turntable that rotates at 80 rpm. A compressed spring shoots…
A: The mass of the turntable is, M=200 g0.001 kg1 g=0.2 kg The diameter of the turntable is, d=54…
Q: A sanding disk with a rotational inertia of 1.2 x 10-3kgm2 is attached to an electric drill whose…
A: Given: The rotational inertia of the sanding disk is 1.2×10-3 kgm2. The motor delivers a torque of…
Q: A propeller consists of two blades each 1.30 m in length and mass 20.0 kg each. The propeller can be…
A: Given : Length of each blade=L=1.3 m Mass=M=20 kg Angular velocity=ω=2200 rpm In this question we…
(Please answer to the fourth decimal place - i.e 14.3225)

Trending now
This is a popular solution!
Step by step
Solved in 2 steps

- A simple and practical understanding of conservation of momentum problems is given by the following: When a figure skater makes a jump, he increases his rotation speed by pulling together his arms and legs. This reduces his rotational inertia causing him to spin faster. If the initial spin rate of a figure skater is 1 RPM and he decreases his rotational inertia by half during the spin, what is his final spin rate?Change in angular momentum. In the figure below, a Texas cockroach with mass m = 0.0470 kg (they are large) rides on a uniform disk of mass M = 10.8m and radius R = 0.0960 m. The disk rotates like a merry-go-round around its central axis. Initially, the cockroach is at radius r = R and the angular speed of the disk is w; = 0.910 rad/s. Treat the cockroach as a particle. The cockroach crawls inward to r = 0.330R. What is the change in angular momentum of (a) the cockroach-disk system, (b) the cockroach, and (c) the disk? (a) Number (b) Number (c) Number p. Units Units Units Rotation axis ◄►A turntable with a mass of 12 kg and a radius of 2 meters spins at a constant angular velocity of 140 rpm. A 500-gram scoop of uniformly-dense ice cream falls onto the turntable, so the scoop's center of mass is one meter away from the turntable's center. The scoop forms a hemisphere and has a radius of 4 cm. If there's no friction between the brick and ice cream scoop and they spin at the same angular speed, what is their final angular speed, in rev/min or in rad/s? Justify your answer with your rationale and equations used. Moments of Inertia: Idisk =MR for rotation about its center of mass parallel to the z-axis. %3D Ihemisphere = MR for rotation about its center of mass parallel to the z-axis. Edit View Ansert Format Tools Table COREI
- A lawnmower blade has a length of 0.75 m and a mass of 1.5 kg. The blade rotates around its center at an angular velocity of 500 re. The end of the blade hits a 0.25 kg croquet ball (point mass), and the ball sticks to the blade. min Before the collision, the ball was stationary. After the collision, the ball will be moving at the same angular velocity as the blade at a distance of half of the blade length from the axis of rotation. Treat the blade as a rod rotating around its center. The final angular velocity of the lawnmower blade and croquet ball combo is rad SA solid cylinder of mass 4 kg and radius 2 m rotates with constant angular velocity of 5 rad/s about an axis through its center. What is the angular momentum of the cylinder?Solid spheres have a rotational inertia about an axis through their center of mass given by I = 2/5 M R2, where M is the mass of the sphere and R is the radius of the sphere. Consider a particular sphere of radius 1.2 m made out of a material of density 300 kg/m3. Using the parallel axis theorem, calculate the rotational inertia of the sphere about a parallel axis shifted 0.33 m away from the center. (Please answer to the fourth decimal place - i.e 14.3225)
- The figure shows three uniform solid disks, each of mass 7.8 kg and radius 0.3 m rotating independently around a common axle. Two of the disks rotate in one direction at 5.3 rad/s while the other rotates in the opposite direction at 3.6 rad/s. Calculate the magnitude of the system's angular momentum about a point in the middle of the center disk. L= kg m²/s - Report your numerical answer below, assuming three significant figures. Remember to include a "-" when necessary.A disk is rotating about a vertical axis of rotation without displacing with an initial angular velocity of 10 rad/s. A 40 kg child is sitting 2 meters away from the axis of rotation. The rotational inertia of the disk is 50 kgm2 and the rotational inertia of the child is 80 kgm2. Another 40 kg child jumps onto the disk 3 meters away from the axis of rotation with a rotational inertia of 180 kgm2. Calculate the new angular velocity of the disk and two children.A disk is rotating about a vertical axis of rotation without displacing with an initial angular velocity of 10 rad/s. A 40 kg child is sitting 2 meters away from the axis of rotation. The rotational inertia of the disk is 50 kgm2 and the rotational inertia of the child is 80 kgm2. Another 40 kg child jumps onto the disk 3 meters away from the axis of rotation with a rotational inertia of 180 kgm2. Calculate the new angular velocity of the disk and two children.
- A cylinder has a cone removed from it. The cylinder and the conical hole have the same radius (2.06 meters) and height (4.56 meters). The cylinder has a density of 447 kg/m3. What is the rotational inertia of the cylinder with the cone removed in kg m2? You can set your origin at the tip of the cone, which is also the center of the base of the cylinder.The figure above shows Einstein spinning on a platform. He is initially spinning at a rate of 1rev/s, and holding his hands a distance of R1 = 80.3 cm away from his body. He then pulls his arms in to a distance of R2 = 40cm, changing his rotational speed. In this problem you can model Einstein’s body as a cylinder with a moment of inertia I = 30MR2, where M is his mass (60kg), and R is the distance his hands are from his body. (Notice that the figure shows him holding weights, but we are going to assume they are massless, to make it simpler!)(a) If he draws his arms in very quickly, you can safely ignore any frictional force on the platform. Assuming this is true, how fast is he rotating after he draws his arms in? (b) In reality, after he draws his arms in friction will start to slow him down. If this small amount of friction is applying a torque of 4 Nm to the platform, how long would it take before Einstein stops moving?A pool ball is struck directly in its center so that it begins to slide across the table without rotating. Eventually, friction with the table causes it to roll without slipping. The mass of the ball is M and its radius is R. The coefficient of friction between the ball and the table is u. If the initial speed of the ball is vo, what is its final speed, once it is rolling without slipping?