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Rotation

The Magnitude and Direction of Centripetal Acceleration

What is the magnitude and direction of the centripetal acceleration due to the earth's rotation at a location near Kansas City at 38 degrees latitude? I believe the answer is 2.66x10^-2 m/s^2, towards the earth's rotation axis. I need to see all formulas involved.

Multiple Choice Question son Velocity and Tension

A particle moves according to the equation x = 10t2, where x is in meters and t is in seconds. Find the average velocity for the time interval from 2.0 second to 3.0 second. 50 m/s 100 m/s 250 m/s 200 m/s A particle undergoes three consecutive displacements: d1 = (10i + 30j + 12k), d2 = (23

Moment of inertia - Parallel-Axis Theorem

To solve many problems about rotational motion, it is important to know the moment of inertia of each object involved. Calculating the moments of inertia of various objects, even highly symmetrical ones, may be a lengthy and tedious process. While it is important to be able to calculate moments of inertia from the definition, in

Moment of Inertia of two particles located in the x-y plane.

In this problem, you will answer several questions that will help you better understand the moment of inertia, its properties, and its applicability. --------- Diagram ------------------------ 1. On which of the following does the moment of inertia of an object depend? A. linear speed B. linear acceleration C.

11 Problems on Electromagnetism : A Complete Study

Please review the attached conceptual physics questions. Instead of just the answers, I would also like full explanations. This is so I can learn the material. Please make sure you are accurate and clear. Thanks. Please See attached word document

Rotating cylindrical axle

You are to design a rotating cylindrical axle to lift 800-N buckets of cement from the ground to a rooftop 78.0 m above the ground. The buckets will be attached to a hook on the free end of a cable that wraps around the rim of the axle; as the axle turns, the buckets will rise. 1. What should the diameter of the axle be in or

The Rotation Matrix

The rotation matrix [R], associated with a positive (in a right-hand sense) rotation α ; about the z-axis is: cosα sinα 0 -sinα cosα 0 0 0 1 ? Derive the rotation Matrix [Q] relating (x, y, z) to a system (x', y', z') which is described by three consecutive Euler rotations about z, then y

Four problems on speed distribution in gas molecules

(See attached file for full problem description with diagram and symbols) --- 1) Find the fractional number of molecules of a gas having speeds between vm and 1.05vm where vm = Sq.root(2kT/m) and is denoted as the most probable speed. [vm denotes v subscript m] 2) At what radial "distance" v from the origin of velocity

Spaceship rotation problem

A 20-meter-long spaceship is drifting in space, and is in the orientation shown below left, initially not spinning at all. The pilot needs to get the spaceship turned around 180 degrees, with the positions of the nose and tail switched around, as shown below right. To accomplish this, he fires a pair of small identical rocket

Rate of rotation of a collapsed star

A star rotates about its axis through a diameter once in 50 days. At the end of its life the star collapses to one hundredth of its orginal diameter. What will the rate of rotation of the collapsed star be?

Rotation: Tipping or sliding.

I have a 72" tall air-compressor that weights 120 pounds with a 20" base. I have a cart that is 36"wx72"l the surface of the cart where the compressor will be mounted is 10" off the ground. The cart wheels are in the corners, it is rated to carry 3600 pounds and weights 114 pounds. If the compressor is placed centered on the car

Magnetic effects of Current: Field, force, induction

1) The figure (*see attachment) shows 11 paths through a region of uniform magnetic field. One path is a straight line; the rest are half circles. The table (*see attachment) gives the masses, charges and speeds of the 11 particles that take these paths through the field in the direction shown. Which path corresponds to which pa

Moment of Inertia Tensor

Calculate the moment of inertia tensor for a solid hemisphere for rotation about its center of mass.

Calculating maximum emf

A 2-cm by 1.5-cm rectagler coil has 300 turns and rotates in a magnetic field of 4000 G. a) What is the maximum emf generated when the coil rotates a maximum 60 HZ? B) What must its frequency be to generate a maximum emf of 110 V? Please explain in detail. Thanks.

Tangential Speed and Acceleration

A helicopter blade has an angular speed of 6.50 rev/s and an angular acceleration of 1.30 rev/s^2. Find the magnitudes of the tangential speed and acceleration for a point (a) 3.00m from the center of rotation and (b) a point on the blade 6.70 m from the center of rotation.

What is the force needed for circular motion?

A spring scale on a rotating platform indicates that the horizontal force on a 0.452 kg mass is 1.34N when the mass is 2.37m from the axis of rotation. How long does it take for the platform to make on revolution?

Pressure in a Centrifuge

Please do not place your response in a .pdf or .cdx format, but Word documents are okay. Thanks! Please see attached for actual problem.

Angular Velocity and Rotational Energy

A disk of radius .3 meters and mass of .5kg is held over another disk of radius .5 meters and mass 1 kg which is rotating in a horizontal plane at a rate of 15.92 rev/sec. The top disk is released and drops onto the bottom disk (centers align). a) What is the final angular velocity (in rev/sec) of the two disks? b) What was

Center of percussion-center of mass

A baseball bat rests on a frictionless, horizontal surface. The bat a length of 0.900m, a mass of 0.800 kg, and its center of mass is 0.600m from the handle end of the bat. ThE MOMENT OF INERTIA OF THE BAT ABOUT ITS CENTER OF MASS IS 0.0530kg*m^2 The impact applies an impulse : J= integral from t2 to t1 of F*dt. at a po

Rotation of rigids body

Can you think of a body that has the same moment of inertia for all possible axis? If so, give an example, and if not, explain why it is not possible.

Angular Speed - Rotational Kinematics

Learning Goal: To understand the meaning of the variables that appear in the equations for rotational kinematics with constant angular acceleration. Rotational motion with a constant nonzero acceleration is not uncommon in the world around us. For instance, many machines have spinning parts. When the machine is turned on or o

Calculating the Resultant Force of a Ride

Question: In an amusement park ride called The Roundup, passengers stand inside a 19.0m diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane, as shown in the figure (see attachment). A. Suppose the ring rotates once every 4.70s. If a rider's mass is 52.0kg, with how much force

Electromagnetics Problems

1. The flux in a single-loop coil of area 37 cm^2 steadily changes from 6.5 x 10^-3 T to 9.3 x 10^-3 T in 0.50s. What emf is induced in the coil? 2. A wire coil of 25 turns has a cross-sectional area of 10 cm^2. The coil is placed in a uniform field of large magnet with B=0.20 T. The coil is suddenly rotated 90 degrees from a

Centripetal Force & Work

Does a centripetal force that acts on an object rotating in a circular path do work on an object? What is your explanation, and what evidence can you cite to support your answer?

Weight differences in scale in Mexico versus Alaska

Please answer the question using these types of ideas. It is a conceptual question that needs a detailed explanation: If you should buy a quantity of gold in Mexico and weigh it careully on a spring balance, would the same quantity of gold weigh more, less, or the same if weighed on the same spring balance in Alaska? Defend you

Inertia

A helicopter has 3 blades, each of them are 5.20m long and has a mass of 220kg.(each blade has a mass of 220kg, not the sum of the 3) The rotor is rotating at 385 rev/min. a)What is the rotational inertia of the rotor assembly about the axis of rotation? (Each blade can be considered to be a thin rod rotated about one end.)