Using the data for a falling mass of 0.0183 kg, calculate the uncertainty on the moment of inertia (in g·m2) for the single disc (disc 1), taking into consideration the given uncertainty on the angular acceleration and torque. Round your answer to 4 decimal places.
Q: After fixing a flat tire on a bicycle you give the wheel a spin. (a) If its initial angular speed…
A: Initial angular velocity of the wheel ω0=5.32 rad/s 1 revolution =2π rad The angular displacement…
Q: Suppose you exert a force of 190N tangential to the outer edge of a grindstone (which is a solid…
A:
Q: A 2m radius wheel with spokes, rotating at 100 rad/s, slows down to rotational velocity of 82 rad/s…
A: Radius= 2m
Q: A uniform cylinder of radius 24 cm and mass 22 kg is mounted so as to rotate freely about a…
A: given that, radius of cylinder r = 24cm = 0.24 mmass of cylinder m = 22 kg h = 5.8 cm = .058 mnow…
Q: flywheel
A:
Q: A child pushes tangentially on a small hand driven merry- go- round. She is able to accelerate it…
A:
Q: A rolling wheel of diameter of 88cm slows down uniformly from 6.8m to rest over a distance of 118m.…
A:
Q: An automobile traveling at 87.7 km/h has tires of 75.0 cm diameter. What is the angular speed of…
A:
Q: The propeller of a World War II fighter plane is 2.30 m in diameter. (a) What is its angular…
A: a. Angular velocity in radians per second is
Q: Suppose that you took data, made necessary calculations and plots as described in the first part of…
A:
Q: A spool of mass 60 kg is supported on two rollers at A and B as shown in Figure Q1(c). Neglect the…
A: (i) GIven: The length of the cable is 6 m. The time taken to unwind the cable 3 s. Introduction: It…
Q: A solid ball of radius 45.0 cm and mass 7.00 kg starts from rest and rolls without slipping down a…
A:
Q: At a given instant the top B of the ladder has an acceleration ag = 1.8 ft/s² and a velocity of VB =…
A:
Q: The propeller of a World War II fighter plane is 2.30 m in diameter. (a) What is its angular…
A: The angular velocity in radians per second,
Q: A wheel starts from rest and uniformly increases angular speed to 0.24 rev/s in 26 sec. What is…
A: Given: Initial angular speed ω0=0 rev/s Final angular speed ω=0.24 rev/s Time period t=26 s…
Q: The total acceleration of a point on a rim of a 1.5-m diameter pulley is 9m/s² when its angular…
A:
Q: Current Attempt in Progress In the figure here, a cylinder having a mass of 1.4 kg can rotate about…
A: In this question we have to find the angular acceleration of the cylinder. Please give positive…
Q: A uniform 4.7-kg cylinder can rotate about an axis through its center at O. The forces applied are:…
A: The torque due to a force F→ acting at r→ is given as, τ→=r→×F→ = (r sinθ) F where r sinθ is the…
Q: The propeller of a World War II fighter plane is 2.30 m in diameter. (a) What is its angular…
A:
Q: a.) Through how many radians does the machine turn while it is gaining speed b.) Make plots of θ, ω…
A:
Q: TA TC C
A:
Q: Calculate the torque necessary to produce an angular acceleration of 25 rad /(s^ 2) in a flywheel of…
A: We need to compute-Torque (τ)=?The data given as-Angular acceleration (α)=25 rad/s2Mass of flywheel…
Q: The graph as attached describes the angular velocity of a particle with respect to time. What is the…
A:
Q: A potter's wheel moves uniformly from rest to an angular velocity of 1.00 rev/s in 30.0 s. (a) Find…
A: (a)A potter’s wheel moves uniformly from rest to angular speed w=1.00 rev/s
Q: A uniform rod of length L= 8m and mass M =2 kg is attached at one end to a frictionless pivot and is…
A:
Q: The rotational motion of a particle is defined by the angular velocity as a function of time: ω(t) =…
A:
Q: You have a hollow thin walled cylinder of mass 1.50 kg and radius 0.300 m, which is subject to a…
A:
Q: A uniform 2.7-kg cylinder can rotate about an axis through its center at O. The forces applied are:…
A: A uniform cylinder having mass(m)=2.7kg can rotate about an axis through its center at O. The forces…
Q: The 55-lb wheel has a radius of gyration about its center of gravity G of kg = 0.7 ft. If it rolls…
A: Given: Radiation of gyration=55 lb kG=0.7 ft k=1.20lb/ft l=0.7ft x0=0.7
Q: Calculate the moment of inertia Ix of the disk D defined by x 2 + y2 < R2 (in meters), with total…
A: Given The angular velocity is ω=10 rad/s. The total mass of disc is M. The moment of inertia of…
Q: (part 1 of 2) A merry-go-round rotates at the rate of 0.12 rev/s with an 83 kg man standing at a…
A:
Q: A child pushes tangentially on a small hand driven merry- go- round. She is able to accelerate it…
A: initial angular speed = 0 rpm = 0 rad/sec final angular speed = 18 rpm = 1.885 rad/sec Using ,…
Q: During a 4.1 s time interval, a flywheel with a constant angular acceleration turns through 336…
A: Given: The time interval is 4.1 s. The angular displacement is 336 rad. The final angular velocity…
Q: A 25 kg solid door is 220 cm tall, 90 cm wide. What is the door's moment of inertia for rotation on…
A: Given: Mass, M=25kgLength,l=220cm=220×10-2mWidth,w=90cm=90×10-2mEdge,d=13cm=13×10-2m The moment of…
Q: Answer the question in full details, thank you very much, Answer on the correct significant figures:…
A:
Q: A uniform solid cylinder of mass 1kg and radius .25m rotates about a fixed vertical, frictionless…
A:
Q: A solid cylinder rolls down an inclined plane from rest and undergoes slipping. It has mass m and…
A: If the cylinder is undergoing slipping and has a coefficient of kinetic friction μk, we need to…
Q: A flywheel with a diameter of 1.27 m is rotating at an angular speed of 272 rev/min. (a)What is the…
A:
Using the data for a falling mass of 0.0183 kg, calculate the uncertainty on the moment of inertia (in g·m2) for the single disc (disc 1), taking into consideration the given uncertainty on the
Step by step
Solved in 3 steps with 3 images
- A spool of mass 60 kg is supported on two rollers at A and B as shown in Figure Q1(c). Neglect the mass of the inelastic cable, friction and the mass of the rollers at A and B. Knowing that a constant pulling force P is applied in order to unwind 6 m of cable in 3 s starting from rest. The radius of gyration for the spool is 608mm. Determine the angular acceleration of the spool and the pulling force P. Explain with calculation on ways to increase the acceleration of cablebeing pulled.Compute the angular velocity after a time of 0.197 s. Through how many revolutions has the blade turned in this time interval? What is the tangential speed of a point on the tip of the blade at time t = 0.197 s?A vertical rectangular object of uniform mass M=14.4kg has sides a=0.8m and b=3.8m. It is pivoted from point O as shown in the figure below. If a constant force of F=87N, making an angle of B=37° with the diagonal, is applied, determine the angular acceleration of the rectangle at the instant shown in the figure using Sl units. Express your answer with two decimal places. Please use the convention: Clockwise (+). Counterclockwise (-) when expressing your answer. Hint1: The moment of inertia of the rectangie obout an axis of rotation possing through its center of mass is 12 Hint2: Don't forget the force of grovity!! Take g=9.80 m/s?. F „CM a b
- A cylinder 12 cm in diameter having a mass of 3 kg rests on a horizontal plane. Compute the moment of inertia of the cylinder about an axis along the line of contact with the plane.A vertical rectangular object of uniform mass M=10.5kg has sides a=0.7m and b=2.7m. It is pivoted from point O as shown in the figure below. If a constant force of F=58N, making an angle of B=830 with the diagonal, is applied, determine the angular acceleration of the rectangle at the instant shown in the figure using Sl units. Express your answer with two decimal places. Please use the convention: Clockwise (+), Counterclockwise (-) when expressing your answer. Hint1: The moment of inertia of the rectangle about an axis of rotation passing through its center of mass is 1 I CHF Ma?+b?) 12 Hint2: Don't forget the force of gravity!!! Take g=9.80 m/s². F CM a bAnswer the question in full details, thank you very much, Answer on the correct significant figures:, and the final answer is not 307.12 rad/s^2 or 310 rad/s^2: A uniform, solid 2.5 kg cylinder can rotate about an axis through its center at O. The forces applied are : F1 =45N, F2 =4.3N, F3 = 5.5N,and F4 = 4.8 N. Also, R1 = 10. cmand R3 = 4.2cm. Find the magnitude (in rad/s^2) and direction (+ denotes counterclockwise and — denotes clockwise) of theangular acceleration of the cylinder.
- A 9 kg solid cylinder has a radius 0.10m and thickness 5 cm. the axis of rotation is located at the center of the cylinder. Compute for the moment of inertia.Answer the question in full details, thank you very much: A uniform, solid 2.5 kg cylinder can rotate about an axis through its center at O. The forces applied are : F1 =45N, F2 =4.3N, F3 = 5.5N,and F4 = 4.8 N. Also, R1 = 10. cmand R3 = 4.2cm. Find the magnitude (in rad/s^2) and direction (+ denotes counterclockwise and — denotes clockwise) of theangular acceleration of the cylinder.Suppose you exert a force of 167 N tangential to a 0.255 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N m) is exerted? (Enter the magnitude.) 42.585 N.m (b) What is the angular acceleration (in rad/s²) assuming negligible opposing friction? (Enter the magnitude.) 2.44 X rad/s² (c) What is the angular acceleration (in rad/s²) if there is an opposing frictional force of 22.6 N exerted 1.75 cm from the axis? (Enter the magnitude.) rad/s²
- As shown in the figure below, wheel A has a radius of 10 cm and is attached by a belt to to wheel C which has a radius of 25 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.1 rad/s2(α). Determine the the time needed for wheel C to reach an angular speed of 100 rev/min assuming the belt does not slip. The linear velocity of the belt must be the same so αArA=αCrC. The relationship between angular acceleration and angular speed is ω=αt. 2pi rad = 1 rev. Don't forget to convert to consistent units.A uniform cylinder of radius 27 cm and mass 16 kg is mounted so as to rotate freely about a horizontal axis that is parallel to and 7.8 cm from the central longitudinal axis of the cylinder. (a) What is the rotational inertia of the cylinder about the axis of rotation? (b) If the cylinder is released from rest with its central longitudinal axis at the same height as the axis about which the cylinder rotates, what is the angular speed of the cylinder as it passes through its lowest position? (a) Number i Units (b) Number UnitsDue to the rotation of the forked rod, the ball in the figure shown travels around the slotted path, a portion of which is in the shape of a cardioid, r = 0.5(1 – cose)ft , where e is in radians. If the ball's velocity is v = 4ft/s and its acceleration is a = 30ft/s² at the instant 0 = 180°, determine the angular velocity Ô and angular acceleration Ö of the fork. r = 0.5 (1- cos 0) ft