A circular satellite with moment of inertial 18125 kg m2 is spinning due to the rockets shown. The rockets each have a mass of 275 kg, and the satellite has a radius of 3.55 m. a. What is the total moment of inertia of the satellite and rockets? b. The rockets accelerate the satellite from not rotating to rotating at 32.75 rpm (revolutions per minute) in 5 minutes. What is the final angular velocity in rad/s? c. What is the angular acceleration? d. What total torque is provided by the rockets? e. What must be the force from each rocket?

A circular satellite with moment of inertial 18125 kg m2 is spinning due to the rockets shown. The rockets each have a mass of 275 kg, and the satellite has a radius of 3.55 m. a. What is the total moment of inertia of the satellite and rockets? b. The rockets accelerate the satellite from not rotating to rotating at 32.75 rpm (revolutions per minute) in 5 minutes. What is the final angular velocity in rad/s? c. What is the angular acceleration? d. What total torque is provided by the rockets? e. What must be the force from each rocket?

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 bigclaw snapping shrimp shown is aptly named—it has one big claw that snaps shut with remarkable…

Q: An 7.00-cm-diameter, 370 g hollow sphere is released from rest at the top of a 1.90-m-long, 20.0*…

Q: roller coaster consists of a hollow cylindrical radius r=2.4 m. Riders stand along the inside of the…

A: Hollow cylindrical radius R =2.4 mAngular speed of coster w = 33 rpmMass of rider m = 50kg.

Q: The bicycle tire shown has total mass of 1.10 kg and a radius of 12.0 cm. The wheel is initially…

A: As per guidelines, only 3 subparts are solved here. Given, mass, m = 1.10 kg radius = 12.0 cm =…

Q: A gyroscope slows from an initial rate of 33 rad/s at a rate of 0.54 rad/s^2. a. how long (in s)…

Q: Let there be a disk shaped merry-go-round of radius R = 2m and mass M = 90 kg with a 30 kg child…

Q: A truck with 0.420-m-radius tires travels at 32.0 m/s. What is the angular velocity of the rotating…

Q: A wheel makes 4.0 rotations in 1 second, rotating at constant angular velocity. a. What is the…

A: The angular displacement is angular displacement =angular velocity x time The angular velocity is…

Q: 17. A 248 cm bar with mass 692 g rotates with an angular speed of 138 rpm, as shown in the figure.…

A: Given data The length of the bar is given as L = 248 cm. The mass of the bar is M = 692 g. The…

Q: 1. A compact disk rotates clockwise, making one revolution in 0.286 s. a) Find the angular velocity,…

A: Solution: (a) Angular velocity (ω): Angular velocity (ω) = Displacement / Time where: Displacement…

Q: Suppose you are whirling the ball at the end of the string with an angular velocity of rad. s Then…

Q: A bicycle with 0.80-m-diameter tires is coasting on a level road at 5.6 m/s. A small blue dot has…

Q: Suppose a yo-yo has a center shaft that has a 0.258 cm radius and that its string is being pulled.…

A: The radius of shaft is 0.258cm

Q: A cooling fan is turned off when it is running at 950 rev/min . It turns 1100 revolutions before it…

A: Given:- A cooling fan is turned off when it is running at 950 rev/min. It turns 1100 revolutions…

Q: An objectsits on a rotating disk 0.5 metersfrom the axis of rotation. It's angular location at any…

Q: ball on the end of a string is moving in a circular motion as a conical pendulum as in the figure…

Q: A wheel accelerates from rest at 25 rad/s? for 6 seconds. Direction of rotation a. What is the…

Q: 8. A 3 kg uniform disk has a radius of 2 m. An external torque of 10 N-m is applied to the outside…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: and a mass of 9.00 kg is freely rotating at 60.0 rpm. A chunk of clay with a rotational inertia of…

Q: A large wind turbine has three blades connected to a central hub. Each blade is 50.0m long and…

A: a)The angular speed is found as,

Q: When kicking a football, the kicker rotates his leg about the hip joint. A. If the velocity of the…

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

Q: A penny sits on a turn table 0.24 meters from the center. Bily spins the turn table at a constant…

A: (a) Since the penny is spun 3 times within 4.3s, its angular velocity will be (b) The period is the…

Q: The 1.00-cm-long second hand on a watch rotates smoothly.a. What is its angular velocity?b. What is…

A: a)

Q: a centrifuge accelerates at a constance angualr acceleration from rest to 11,000 revolution per…

A: Given data: The initial angular speed is Ni=0 rpm. The final angular speed is Nf=11000 rpm. The time…

Question

A circular satellite with moment of inertial 18125 kg m² is spinning due to the rockets shown. The rockets each have a mass of 275 kg, and the satellite has a radius of 3.55 m.

a. What is the total moment of inertia of the satellite and rockets?

b. The rockets accelerate the satellite from not rotating to rotating at 32.75 rpm (revolutions per minute) in 5 minutes. What is the final angular velocity in rad/s?

c. What is the angular acceleration?

d. What total torque is provided by the rockets?

e. What must be the force from each rocket?

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step by step

Solved in 7 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

63. A car with 58-cm-diameter tires accelerates uniformly from INT rest to 20 m/s in 10 s. How many times does each tire rotate? C -. 1.1 1:.C.:
A truck with 0.570 m radius tires travels at 43.0 m/s. At how many radians per second are the tires rotating? b. What is this in rpm?
A kicker's extended leg with a length of 0.39m is swung from rest for 0.4 seconds in a counter- clockwise direction while accelerating at 200 °/s2. What is the angular velocity of the leg at the instant of contact with the ball? a. What is the tangential linear velocity of the leg at the time of ball contact?
A disk has mass M = 1.0 kg and radius, R = 0.3 m is free to rotate about a fixed axle through its center. Since the axle is fixed, the center of mass of the disk does not move. The disk is initially not rotating. A student wraps a string 5 times around the perimeter of the disk and then pulls the string with a constant force of F = 2.0 N, as shown in the figure below. F= 2N 4 R=0.3m I=½mr? M=kg
A bicycle wheel has a diameter of 700mm and a mass of 3.0 kg. Most of the mass of the wheel is in the tire so you can treat it as a hoop. a. Suppose the wheel is attached to a bicycle that is moving at 7.0 m/s. What is the angular velocity of the wheel in rad/sec? b. If the bicycle slows down to 4.0 m/s over a period of 10.0 sec, what is the angular acceleration of the wheel in rad/sec 2?
a centrifuge in a medical lab rotates at a rotational speed of 3,600 rev/min. when switched off, it takes 50 complete turns to at a constant angular acceleration before coming to a rest. a. what was the magnitude of the angular acceleration of the centrifuge as it slowed down? b. how long did it take for the centrifuge to come to a rest after being turned off?
A cable lifting an elevator (600-kg) is wrapped around a 1.0-m diameter cylinder (20-kg) that is turned by the elevator's motor. The elevator is moving upward at a speed of 2.0-m/s then slows to a stop. (Note: I(cylinder)= ½ M R?) a. What is the angular acceleration (a) of the cylinder? b. What are the initial and final angular velocities (w) of the rotor. c. What angle (Dq) does the cylinder cover while stopping? d. How long does it take to stop the elevator?
1. A bicycle tire is rotating counterclockwise at 3.141 rad/s. Over the course of 10.0 seconds, the tire's rotation slows uniformly until it comes to a complete stop. wo = 3.141 rad/s Wo Fig. 4- a bicycle wheel spinning. a. What is the angular acceleration a during this time period? b. What is the angular displacement 40 after those 10.0 seconds? The angular velocity a piece of tape at the end of a meter stick I'm waving around increases from 0.00°/s to 90.0%/s in 2.00 seconds. c. What is the angle through which the piece of tape rotates? d. What is the tape's angular acceleration?
The angle that a spinning disc rotates through as a function of time is given in radians as 0(t) = 2 + 3t – 2t? a. What is the angular velocity of the disc as a function of time? b. What is the angular acceleration of the disc? c. If the disc has a radius of 2 meters, what is the magnitude of the tangential velocity of a point on the edge of the disc when t=10 seconds?
A record is spinning at the rate of 25 rpm. If a ladybug is sitting 10 cm from the center of the record: a. What is the angular velocity of the ladybug? (in rev/sec) b. What is the tangential speed of the ladybug? (in cm/sec)
5. A car m = 1230. kg has wheels with a radius R = 0.230 m. The car starts at rest and the wheels are given an angular acceleration a = 9.11 raa2 velocity of the car after this time? Assume the tires do not slip during this process. s2 for a time t = 5.34 s. What is the
A salad spinner accelerates from rest to 4.5 rad/s in 2.5 s. If it continues to accelerate at this rate, a. What is the angular velocity after 10 s? b. How many revolutions does it make in 10s?