The wheel has a mass of 100 kg and a radius of gyration ofko = 0.2 m. A motor supplies a torque M = (400 + 900) N. m,where is in radians, about the drive shaft at O. Initially the caris at rest when s = 0 and 0 = 0°. Neglect the mass of theattached cable and the mass of the car's wheels. (Figure 1)FigureM0.3 m1 of 1Part ADetermine the speed of the loading car, which has a mass of 270 kg, after it travels s = 4 m.Express your answer to three significant figures and include the appropriate units.VC=SubmitПμAValueProvide FeedbackX Incorrect; Try AgainUnitsPrevious Answers Request Answer?

Answered: Image /qna-images/answer/6c7c5728-5785-4bab-936b-31c72b611fcb.jpg

The wheel has a mass of 100 kg and a radius of gyration of ko = 0.2 m. A motor supplies a torque M = (400 + 900) N. m, where is in radians, about the drive shaft at O. Initially the car is at rest when s = 0 and 0 = 0°. Neglect the mass of the attached cable and the mass of the car'as wheels. (Figure 1) ▼ Part A Determine the speed of the loading car, which has a mass of 270 kg, after it travels s = 4 m. Express your answer to three significant figures and include the appropriate units. VC = Submit μA Value Units Previous Answers Request Answer ?

The wheel has a mass of 100 kg and a radius of gyration of ko = 0.2 m. A motor supplies a torque M = (400 + 900) N. m, where is in radians, about the drive shaft at O. Initially the car is at rest when s = 0 and 0 = 0°. Neglect the mass of the attached cable and the mass of the car'as wheels. (Figure 1) ▼ Part A Determine the speed of the loading car, which has a mass of 270 kg, after it travels s = 4 m. Express your answer to three significant figures and include the appropriate units. VC = Submit μA Value Units Previous Answers Request Answer ?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: aring The angular velocity of a 755-g wheel 15.0 cm in diameter is given by the equation wif) =…

Q: In the figure here, a cylinder having a mass of 3.6 kg can rotate about its central axis through…

Q: A clinical blood centrifuge operates at ω= 1200 rpm. a.) What is the angular velocity measured in…

Q: You have a grindstone (a disk) that is 93.0 kg, has a 0.370-m radius, and is turning at 71.0 rpm,…

Q: At time t=0s, a wheel has an angular displacement of zero radians and an angular velocity of 29rada…

A: Given: The angular displacement of the wheel is 0 rad at t=0s s. The initial angular velocity is 29…

Q: A large fish strikes bait cast by a fisherman with a rod and reel. The fish creates tension in the…

A: Torque can be defined as the cross product of the radial vector from the axis of rotation and the…

Q: 35N 20N 30° 150 4cm 50N 30°

Q: A cylinder is 0.3 m in radius and {h} m in length. Its rotational inertia, about the cylinder axis…

Q: In the figure here, a cylinder having a mass of 2.8 kg can rotate about its central axis through…

A: Given Information:- Mass of the cylinder m=2.8 kg Forces are F1=9.7 N, F2=8.3 N, F3=1.8 N , F4=4.5…

Q: of a wire that is wrapped around the outer rim of a pulley, similar to what is shown in (Figure 1).…

Q: R2 RD Rotation axis (hrw8c10p54) A cylinder having a mass of 12.0 kg can rotate about its central…

Q: The angular speed of a rotor in a centrifuge increases from 429 to 1350 rad/s in a time of 6.77 s.…

Q: A 4.50-kg centrifuge takes 200 s to spin up from rest to its final angular speed with constant…

A: Angular velocity is defined as the rate of change of angular displacement with time. Angular…

Q: During a certain time interval, the angular position of a swinging door is described by 8 = 5.02 +…

Q: 0.8 ft 0.4ft 0.2 ft С < 1 of

A: The kinetic energy is the energy by the virtue of the motion of the object and the potential energy…

Q: What is the linear velocity of the ring at point 3 in m/s?

Q: A cylinder having a mass of 5.0 kg can rotate about its central axis through point O. Forces are…

A: Given; F1 = 7.0 N, F2 = 4.5 N, F3 = 1.5 N, and F4 = 5.0 N. and R1 = 5.0 cm = 5 x 10-2 m and R2 =…

Q: A wheel of inner radius r = 14.2 cm and outer radius rz = 35.0 cm shown in the figure below is free…

A: The expression for find net torque on the wheel is Στ=ΣrFsinθ

Q: The tub within a washer goes into its spin cycle, starting from rest and reaching an angular speed…

Q: An object of mass ?1 is tied to a string and allowed to revolve in a circle of radius ? on a…

Q: You have a grindstone (a disk) that is 93.0 kg, has a 0.370-m radius, and is turning at 71.0 rpm,…

A: The relation between torque and angular acceleration is given by τ→=I α→ now torque τ→=r→×F→ So…

Q: A cylinder is 0.7 m in radius and {h} m in length. Its rotational inertia, about the cylinder axis…

A: Given Radius of cylinder = 0.7 m radius and {h} m in length. Moment of inertia about its axis of…

Q: Problem 5: With the aid of a string, a gyroscope is accelerated from rest to 31 rad/s in 0.36 s.…

A: Given data The initial angular speed of the gyroscope is: ωi=0 rad/s The final angular speed of the…

Q: A turntable is off and is not spinning. A 0.9 g ant is on the disc and is 14 cm away from the…

A: The objective of the question is to determine the angular velocity, linear velocity, angular…

Q: In the figure here, a cylinder having a mass of 2.0 kg can rotate about its central axis through…

Q: A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations…

Q: You are given four objects. A Solid cylinder, a thin-walled hollow cylinder, a solid sphere, and a…

Q: You have a grindstone (a disk) that is 77.0 kg, has a 0.400-m radius, and is turning at 89.0 rpm,…

Q: The wheel and axle have forces applies tangentially as shown in the figure. There is also a…

A: Torque is given by The magnitude of the torque on an object is given by Where r = distance from…

Q: Two tangential forces F1 = 25 N and F2 = 10 N are applied to the rim of a solid cylinder of radius R…

Q: Three children are riding on the edge of a merry-go-round that is 122 kg, has a 1.60 m radius, and…

A: Given Information:- Mass of the merry-go-round is M=122 kg Initial angular speed of the…

Q: The propeller of a World War II fighter plane is 2.3 m in diameter. (a) What is its angular velocity…

A: Given data: Angular velocity (ω) = 1100 rev/min Diameter (d) = 2.3 m Required: The linear speed of…

Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

100%

The wheel has a mass of 100 kg and a radius of gyration of
ko = 0.2 m. A motor supplies a torque M = (400 + 900) N. m,
where is in radians, about the drive shaft at O. Initially the car
is at rest when s = 0 and 0 = 0°. Neglect the mass of the
attached cable and the mass of the car's wheels. (Figure 1)
Figure
M
0.3 m
1 of 1
Part A
Determine the speed of the loading car, which has a mass of 270 kg, after it travels s = 4 m.
Express your answer to three significant figures and include the appropriate units.
VC=
Submit
П
μA
Value
Provide Feedback
X Incorrect; Try Again
Units
Previous Answers Request Answer
?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given and Find:

VIEW

Step 2: Finding the value of theta and mass moment of inertia:

VIEW

Step 3: Applying energy equation:

VIEW

Step 4: Finding the value of the speed of the loading car:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Angular speed, acceleration and displacement

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A person sits in a chair that is free to rotate without friction. Intheir hands, they hold two masses: Mass m1 = 5.0 kg a distance r1 = 0.35m from their body and mass m2 = 3.0 kg a distance r2 = 0.75 m from their body. a. At what distance r1 should the person hold mass m1 if they want to change their rotation speed from w1 = 8.0 rad/s to wf = 5.0 rad/s? b. What is the new moment of inertia about the vertical axis when m1 is held at this new distance?
A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10.0 s period following the inital spin, the bike wheel undergoes 77.5 complete rotations. Assuming the frictional torque remains constant, how much more time At, will it take the bike wheel to come to a complete stop? Ats = %3D S
The Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley. The pulley can be approximated by a uniform disk with mass m, = 6.13 kg and 17.9 kg radius r, = 0.150 m. The hanging masses are m and mg = 12.9 kg. Calculate the magnitude of the masses' acceleration a and the tension in the left and right ends of the rope, Ti and TR, respectively. m/s? a = N Ti = m. MR TR
Plz use g = 9.8 m/s2 to find if needed
Plz use g = 9.8 m/s2 to find if needed
A small 700 g ball on the end of a thin, light rod is rotated in a horizontal circle of radius 2.5 m. Calculate the torque needed to keep the ball rotating at a constant angular speed if the air resistance experienced by the ball is 0.0200 N. Ignore the rods moment of inertia and air resistance. Hint: Treat the small ball as a particle.
A yo‑yo with a mass of 0.0850 kg and a rolling radius of r=1.60 cm rolls down a string with a linear acceleration of 5.20 m/s2. Calculate the tension magnitude ? in the string and the angular acceleration magnitude ? of the yo‑yo.
What is the mass of each ball?
A turntable 46.0 cm in diameter diameter starts from rest, and rotates at 68.0 rpm at its first complete revoļution with constant angular acceleration. If it maintains the same acceleration, a) what is the rotational speed at time 34.0 seconds? b) what is the tangential speed of a point 10 cm from the edge of the turntable at time 34.0 seconds? Enter answer "O" in the answer box. Submit in the corresponding folder (or email) your solution by 3:50 pm, include a sketch/drawing of the rotating wheel, and a step- by-step solution.
Please show the steps for a) and b)
In the figure here, a cylinder having a mass of 2.7 kg can rotate about its central axis through point O. Forces are applied as shown: F₁ = 8.0 N, F₂ = 9.6 N, F3 = 6.0 N, and F4 = 6.4 N. Also, r = 5.4 cm and R = 10 cm. Taking the clockwise direction to be negative, find the angular acceleration of the cylinder. (During the rotation, the forces maintain their same angles relative to the cylinder.) Number IN Unit Rotation axis F₁ R 0
An automobile engine can produce 253 Nm of torque. Calculate the angular acceleration (in rad/s2) produced if 80.2% of this torque is applied to the drive shaft, axle, and rear wheels of a car, given the following information. The car is suspended so that the wheels can turn freely. Each wheel acts like a 15.0 kg disk that has a 0.180 m radius. The walls of each tire act like a 2.00 kg annular ring that has inside radius of 0.180 m and outside radius of 0.320 m. The tread of each tire acts like a 10.0 kg hoop of radius 0.330 m. The 12.1 kg axle acts like a rod that has a 2.00 cm radius. The 29.7 kg drive shaft acts like a rod that has a 3.20 cm radius. rad/s² t Additional Materials Reading