The angular position of a rod varies as 14t radians from time t = 0. The rod has two beads on it asshown in the following figure, one at 10 cm from the rotation axis and the other at 20 cm from the rotationaxis.Counterclockwise rotationAxis of rotation 10 cm20 cma. What is the instantaneous angular velocity of the rod at t = 6 s?168V rad/sb. What is the angular acceleration of the rod?28v rad/s2a =c. What are the tangential speeds of the beads at t = 6 s?Vred3360X m/sUblue560x m/sd. What are the tangential accelerations of the beads at t = 6 s?at,red1680x m/s2m/s2%3Dat,blue =e. What are the centripetal accelerations of the beads at t = 6 s?ac,redm/s2ac,bluem/s2

Since you have already got the answer to the sub-parts (a), and (b), we will solve the other three…

The angular position of a rod varies as 14t radians from time t =0. The rod has two beads on it as shown in the following figure, one at 10 cm from the rotation axis and the other at 20 cm from the rotation axis.

The angular position of a rod varies as 14t radians from time t =0. The rod has two beads on it as shown in the following figure, one at 10 cm from the rotation axis and the other at 20 cm from the rotation axis.

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: Two bugs, Buzz and Crunchy, are siting on a spinning disk. Buzz is sitting halfway and Crunchy is…

A: Radius of the disk r=1.4 m and angular speed of the disk about its center w=41 rpm=41/60 rps. We…

Q: The 9.50-cmcm-long second hand on a watch rotates smoothly. What is its angular speed? What is the…

Q: A disk spins with a non-constant angular velocity given by: w(t) = Bt³ where B is a positive…

Q: What are the units of the constant A? A hollow, thin-walled sphere of mass 14.0 kg and diameter 49.0…

A: Please note : As per answering guidelines I can answer the first three questions of a multisub-part…

Q: Left Right Down spinning disk is rotating at a rate of 2 rad/s in the counterclockwise direction as…

A: Angular velocity =Angular Displacementtime Angular acceleration = Angular velocitytime (given)…

Q: A truck with 28-in.-diameter wheels is traveling at 45 miles per hour. How many revolutions per…

Q: DVD player has a rotational speed of 1150 rpm. What is this in radians/second? Give your answer…

Q: A wheel 203 cmcm in diameter takes 2.30 ss for each revolution. Find the period of the wheel.…

Q: 5: A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely…

Q: 10 9 @o 11 8 12 7 1 6 Marker 2 5 3 4 A spinning wheel with radius 62.4 inches is set into rotational…

A: Given: r=62.4 inα=3.5 revs2ω=3 revs l is the linear displacement here. To Find: section on which…

Q: In the figure below, two particles, each with mass m = 0.88 kg, are fastened to each other, and to a…

A: the figure below, two particles, each with mass m = 0.88 kg, are fastened to each other, and to a…

Q: A CD has a diameter of 12.0 cm. If the CD is rotating at a constant angular speed of 20.0 radians…

A: Given data: Diameter (d) = 12.0 cm Angular speed (ω) = 20.0 radians per second Required: The period…

Q: bugs, Buzz and Crunchy, are siting on a spinning disk. The disk of radius 7.5 m spins with an…

A: Angular velocity ω = 90 degrees/ sec = π/2 rad/s = 1.57 rad/s

Q: What is the value of the angular velocity of a wheel that rotates by moving 15 radians? in 0.2…

Q: The figure shows a golf ball passing through a windmill at a miniature golf course. The windmill has…

Q: Shown in the figure are two discs connected by a belt that does not slip. The large disk has a…

A: Given: For large disk: rL = 0.4m, wL = 20rad/sec. For smaller disk: rs = 0.2m, ws = To be…

Q: A wheel rotates about a fixed axis with constant angular speed and makes 2 revolutions every second.…

Q: A sweet potato pie in a 8.00 in diameter plate is placed upon a rotating tray. Then, the tray is…

A: Distance travelled in 1 revolution is given byd=2πr=2π×8.00in=50.27 innow angular distance=258…

Q: Two pulleys, one with radius 8 inches and one with radius 4 inches are connected by a belt, so that…

A: The radius of the first pulley r1=8 inches The radius of the second pulley r2=4 inches The angular…

Q: Two bugs, Buzz and Crunchy, are siting on a spinning disk. The disk of radius 3.1 m spins with an…

A: Given, radius of the disc, R = 3.1 m angular speed, ω = 90 degreesec = π2 rads

Q: An airplane propeller rotates with an angular speed of 312 rad/s through what angle does the…

A: Given data: ω=312 rad/st=4.3 s Need to determine the angle does the propeller rotate in 4.3 seconds.

Q: Over the course of a multi-stage 4110-km bicycle race, the front wheel of an athlete's bicycle makes…

A: Given:The total distance covered by bicycle is D=4110 km.The revolution make by bicycle is n=2.20…

Q: A solid cylinder with a mass of 300.0g and a radius of 20.0cm is rotating at 50.0 rad/s. A metal…

A: Given quantities: mass of cylinder (M) = 0.3 kg radius of cylinder (R) = 0.2 m angular speed (w1) =…

Q: A guinea pig is running on the exercise wheel in its cage. The guinea pig is running at 2 miles per…

A: We need to convert the guinea pig's speed from miles (mi) per hour to inches per minute, since the…

Q: A rotating disk has an angular position of 0 = 2π +πt+2πt², measured in radians. How many complete…

Q: At a particular instant an object at (r=2m and θ=0 )is moving such that its radial speed is 3m/s and…

Q: A ball of radius R is rolling across a rough surface without slipping. What is the relationship…

A: The given data is as follows:Radius of ball is RAngular speed is Translational speed is vThe…

Q: A cylindrical shaped object of mass 5.0 kg and radius 0.25 m is rotating at 11 rad/s. An object is…

A: Moment of inertia of a point particle with mass m at a distance r from the axis of rotation is given…

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 angular position of a rod varies as 14t radians from time t = 0. The rod has two beads on it as
shown in the following figure, one at 10 cm from the rotation axis and the other at 20 cm from the rotation
axis.
Counterclockwise rotation
Axis of rotation 10 cm
20 cm
a. What is the instantaneous angular velocity of the rod at t = 6 s?
168
V rad/s
b. What is the angular acceleration of the rod?
28
v rad/s2
a =
c. What are the tangential speeds of the beads at t = 6 s?
Vred
3360
X m/s
Ublue
560
x m/s
d. What are the tangential accelerations of the beads at t = 6 s?
at,red
1680
x m/s2
m/s2
%3D
at,blue =
e. What are the centripetal accelerations of the beads at t = 6 s?
ac,red
m/s2
ac,blue
m/s2

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 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

Angular speed (ω) is related to speed (v) as: v = r × ω, where r is radius. Determine the dimension of angular speed ω in terms of [L], [M], [T].
An automobile tire is rated to last for 35,000 miles. Estimate the number of revolutions the tire will make in its lifetime. O 106 revolutions O 1010 revolutions O 103 revolutions O 1012 revolutions O 107 revolutions
A wheel has a radius of 3.5 m. How far (path length) does a point on the circumference travel if the wheel is rotated through angles of 30°, 30 rad, and 30 rev, respectively? 30° m 30 rad m 30 rev m
At it's peak, a tornado is 75m in diameter and carries 470m/s wind at its outer edge. What is it's angular speed in radians per second?
The angular speed of a rotating platform changes from W equals 2.8 rads/S to W equals 6.8 rad/S at a constant rate as a platform moves through an angle 5.5 rad. The platform has a radius of R equals 28 cm w0=2.8rad/s w=6.8rad/s 0=5.5 radians r=28cm calculate the angular acceleration of the platform a in rad per second squared calculate the tangential acceleration, aT in meters per second squared of a point on the surface of the platform at the outer edge
A rock tied to the end of string swings at a constant angular rate. If you are told that the string can support a total of 85 N of force before breaking, what is the maximum angular velocity the rock can rotate if the rock has a mass of 0.16 kg, and the length of the string is 0.5 m? Give your answer in units of radian per second
A wheel (of radius 0.5 meters) spins with an angular velocity of 2 radians per second (rad/s). If this wheel were rolling on the ground without sliding, how fast would the wheel be traveling? O 1 m/s O 0.5 m/s It's not this one. O 2 m/s
A key lime pie in a 8.50 in8.50 in diameter plate is placed upon a rotating tray. Then, the tray is rotated such that the rim of the pie plate moves through a distance of 233 in.233 in. Express the angular distance that the pie plate has moved through in revolutions, radians, and degrees. what is the angular distance in revelutions? what is the angular distance in radians? If the pie is cut into 1010 equal slices, express the angular size of one slice in radians, as a fraction of ?. what is the angular size =pi x in radians?
A turntable is rotating at 78 revolutions per minute and has a rotational inertia of I= 0.045 kg.m^2. A 500g ball of clay is dropped vertically onto the turntable so it sticks at 8.0cm from the center of the turntable. How fast is the turntable rotating (in rpm) after this event
A bicycle has a front sprocket of diameter 5.0 cm and a back sprocket of 2.0 cm. The bicyclist pedals at 2 revolutions per second turning the front sprocket, and the chain, which connects the front and back sprockets, turns the back sprocket. The wheel and the back sprocket turn together. The back wheel has a radius of 30 cm. How fast will the bike travel down a straight level path? 3.4 m/s 6.5 m/s 9.4 m/s 1.8 m/s
A disk with a radius of 4.01 meters is rotating with an angular speed of 8.01 rad/s. The angular speed increases to 12.01 rad/s over the next 4.01 seconds. Determine how many revolutions the disk rotates through in 4.01 seconds?