The flywheel of a steam engine runs with a constant angular velocity of 132 rev/min. When steam is shut off, the friction of the bearings and of the air stops the wheel in 1.40 h. (a) What is the constant angular acceleration, in revolutions per minute-squared, of the wheel during the slowdown? (b) How many revolutions does the wheel make before stopping? (c) At the instant the flywheel is turning at 66.0 rev/min, what is the tangential component of the linear acceleration of a flywheel particle that is 42.7 cm from the axis of rotation? (d) What is the magnitude of the net linear acceleration of the particle in (c)?

The flywheel of a steam engine runs with a constant angular velocity of 132 rev/min. When steam is shut off, the friction of the bearings and of the air stops the wheel in 1.40 h. (a) What is the constant angular acceleration, in revolutions per minute-squared, of the wheel during the slowdown? (b) How many revolutions does the wheel make before stopping? (c) At the instant the flywheel is turning at 66.0 rev/min, what is the tangential component of the linear acceleration of a flywheel particle that is 42.7 cm from the axis of rotation? (d) What is the magnitude of the net linear acceleration of the particle in (c)?

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: A disk is initially spinning at +3600 rpm. It increased its angular velocity to +7200 rpm in 9 sec.…

A: Given values: Initial angular velocity, ω1=3600 rpm Final angular velocity, ω2=7200 rpm Time, t=9 s

Q: flywheel

Q: A centrifuge in a medical laboratory rotates at an angular speed of 3,800 rev/min. When switched…

A: The initial angular speed of the centrifuge is ω0 = 3,800 rev/min. The angular displacement of the…

Q: n 2010, the Sikorsky's X2 helicopter became the world's fastest helicopter, flying at 249 miles per…

Q: A fan is spinning with an angular velocity of 3500 revolutions per minute (rpm). When turned off,…

A: From kinematics, the expression for the final angular velocity is:

Q: disk spins at a rate of 6000 radians every 10 minutes. (a) What is the angular velocity of the disk…

A: Given Angular displacement = 6000 radians Time taken = 10 min = 10×60 sec = 600 sec

Q: A car initially traveling at 29.7 m/s undergoes a constant negative acceleration of magnitude 2.00…

A: Given data The initial velocity of the car is u = 29.7 m/s. The negative acceleration of the car is…

Q: (a) Convert 41.0° to radians, using the appropriate conversion ratio. rad (b) Convert 2.46 rad to…

A: Given Data, Degree=41.00 Radian=2.46 Rad radius of the circle (r)=1.60 m Subtended Angle (θ)=41.00

Q: The flywheel of a steam engine runs with a constant angular velocity of 140 rev/min. When steam is…

A: Angular acceleration , α = -1.67 rev/min2 Distance of the particle from the axis , r = 27 cm = 0.27…

Q: Express the angular speed of 40 degrees per second in (a) rev/s, (b) rpm, (c) rad/s.

A: (given) Angular speed = 40 °/s (a) 1°/s = 0.00277777 rev/s Angular speed of 40 °/s…

Q: A disk is initially spinning at 14 radians per second, and comes to a stop in 22 seconds under…

Q: A centrifuge is a common laboratory instrument that separates components of differing densities in…

A: Given data The time taken by the centrifuge is given as t = 11 s. The initial angular speed of the…

Q: A ceiling fan has 17-inch blades (so the radius of the circular fan is 17 inches). Suppose the…

A: The radius of circular fan, r = 17 inches. The linear speed of tip of a blade, v = 9 feet per…

Q: After fixing a flat tire on a bicycle you give the wheel a spin. Its initial angular speed was 5.50…

Q: The angular speed of a rotor in a centrifuge increases from 439 to 1430 rad/s in a time of 6.34…

Q: An electric fan makes 300 revolutions per minute. If it comes to a stop after 12 secs, what is the…

A: Given: The initial angular speed is 0 rad/s. The final angular speed is 300 revs/s. The time…

Q: The flywheel of a steam engine runs with a constant angular velocity of 240 rev/min. When steam is…

A: The initial angular velocity of object is Time taken by object to come to stop is The object finally…

Q: The flywheel of a steam engine runs with a constant angular velocity of 186 rev/min. When steam is…

Q: Most gasoline engines in today's automobiles are belt driven. This means that the crankshaft, a rod…

Q: A disk (mass = 4.06 kg and radius 0.567 m) is rotating at 649.9 rpm. How much force (magnitude…

Q: At time t = 0 s, a wheel is spinning at 84 rad/s counterclockwise. It begins accelerating…

A: The formula to calculate the final angular speed of the wheel when it rotates counterclockwise is…

Q: broomstick (thin rod) has a length of 1.75meters. The broomstick is held vertically with one end in…

A: height of upper end of broomstick Potential energy stored in upper end let v be the speed of…

Q: The angular speed of a rotor in a centrifuge increases from 422 to 1350 rad/s in a time of 4.41 s.…

Q: At time t = 0 s, a wheel is spinning at 84 rad/s counterclockwise. It begins accelerating…

Q: A flywheel with a diameter of 1.27 m is rotating at an angular speed of 272 rev/min. (a)What is the…

Q: A centrifuge in a medical laboratory rotates at an angular speed of 3,400 rev/min. When switched…

A: we use the basic equation of kinematics

Q: (a) In the figure below, wheel A of radius rA = 10 cm is co = B to wheel C of radius rc 25 cm. The…

Q: In the figure, wheel A of radius rA = 13.2 cm is coupled by belt B to wheel C of radius rc = 26.2…

A: GivenrA=13.2 cm=0.132 mrc=26.2 cm=0.262 mαA=1.17 rad/s2

Q: Find the constant angular acceleration (in rad/s2) of the centrifuge.

Q: Most gasoline engines in today's automobiles are belt driven. This means that the crankshaft, a rod…

Q: A flywheel with a diameter of 1.81 m is rotating at an angular speed of 197 rev/min. (a) What…

A: (a)The formula for the final angular velocity in term of the constant angular acceleration and time…

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

The flywheel of a steam engine runs with a constant angular velocity of 132 rev/min. When steam is
shut off, the friction of the bearings and of the air stops the wheel in 1.40 h. (a) What is the constant
angular acceleration, in revolutions per minute-squared, of the wheel during the slowdown? (b)
How many revolutions does the wheel make before stopping? (c) At the instant the flywheel is
turning at 66.0 rev/min, what is the tangential component of the linear acceleration of a flywheel
particle that is 42.7 cm from the axis of rotation? (d) What is the magnitude of the net linear
acceleration of the particle in (c)?

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 Data

Step 2: Part-(a)

Step 3: Part-(b)

Step 4: Part-(c)

Solution

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

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 Google search revealed that the disc in a CD player spins at between 200 and 500 revolutions per minute (RPM) depending upon which area of the disc is being read or played. (a) How many radians per second are equivalent to 200 RPM? (b) By pressing and holding the fast-forward button, the CD player could quickly increase its speed from 200 RPM to 448 RPM in just 0.75 seconds. What was the angular acceleration (α) of the CD in units of radians per secondsquared as it sped up from 200 to 448 RPM?
An airplane engine starts from rest; and 2 seconds later, it is rotating with an angular speed of 420 rev/min. If the angular acceleration is constant, how many revolutions does the propeller undergo during this time?
A centrifuge in a medical laboratory rotates at an angular speed of 3,800 rev/min. When switched off, it rotates through 52.0 revolutions before coming to rest. Find the constant angular acceleration (in rad/s2) of the centrifuge.
A rotating flywheel rotates at 400 revolutions in the first minute. In the next minute, it rotates 240 revolutions. If the number of revolutions decreases as a constant rate, how many revolutions will the wheel make before coming to a rest?
A wheel of radius 15cm begins to rotate on its axis from rest with a constant angular acceleration of 6.5 rad / s ^ 2. At t = 5 seconds, its centripetal acceleration in m / s ^ 2 is: a) 158.4b) 97.5c) 6.34d) 282
Most gasoline engines in today's automobiles are belt driven. This means that the crankshaft, a rod which rotates and drives the pistons, is timed to the camshaft, the mechanism which actuates the valves, by means of a belt. Starting from rest, assume it takes t = 0.0760 s for a crankshaft with a radius of r1 = 4.75 cm to reach 1350 rpm. If the belt does not stretch or slip, calculate the angular acceleration a2 of the larger camshaft, which has a radius of r2 = 9.50 cm, during this time period. a2 = rad/s?
In the figure, wheel A of radius ra = 13.3 cm is coupled by belt B to wheel Cof radius rc=20.4 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.43 rad/s2. Find the time needed for wheel C to reach an angular speed of 58.1 rev/min, assuming the belt does not slip. (Hint: If the belt does not slip, the linear speeds at the two rims must be equal.) TA Number i Units
An electric fan is running on HIGH. After the speed setting is changed to LOW, the angular speed reduces to 800 rpm in 1.75 s. If the angular deceleration is a constant 42.0 rad/s², then find (a) the initial angular speed of the fan (when it was on HIGH) and (b) the number of revolutions that the fan turned through as it slowed from HIGH to LOW. (c) Include a diagram of the situation.
The flywheel of a steam engine runs with a constant angular velocity of 240 rev/min. When steam is shut off, the friction of the bearings and of the air stops the wheel in 2.6 h. (a) What is the constant angular acceleration, in revolutions per minute-squared, of the wheel during the slowdown? (b) How many revolutions does the wheel make before stopping? (c) At the instant the flywheel is turning at 120 rev/min, what is the tangential component of the linear acceleration of a flywheel particle that is 34 cm from the axis of rotation? (d) What is the magnitude of the net linear acceleration of the particle in (c)?
Answer the question in full details, thank you very much: The tub of a washer goes into its spin cycle, starting from rest and gaining angular speed steadily for 8.21 s,when it is turning at 4.99 revolutions/s. At this point the person doing the laundry opens the lid, and a safetyswitch turns off the washer. The tub smoothly slows to restin 11.6 s. Through how many revolutions does the tub turn while it is in motion?
A car initially traveling at 24.2 m/s undergoes a constant negative acceleration of magnitude 2.10 m/s? after its brakes are applied. (a) How many revolutions does each tire make before the car comes to a stop, assuming the car does not skid and the tires have radii of 0.325 m? 69.4 rev (b) What is the angular speed of the wheels when the car has traveled half the total distance? Your response differs from the correct answer by more than 10%. Double check your calculations. rad/s Need Help? Read It
A centrifuge in a medical laboratory rotates at an angular speed of 3,400 rev/min. When switched off, it rotates through 48.0 revolutions before coming to rest. Find the constant angular acceleration (in rad/s2) of the centrifuge.