Physics, 29.02.2020 05:45 emwemily

A 65.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 480 kg · m2 and a radius of 2.00 m. The turntable is initially at rest and is free to rotate about a frictionless vertical axle through its center. The woman then starts walking around the rim clockwise (as viewed from above the system) at a constant speed of 1.50 m/s relative to the Earth.

Answers: 2

Show answers

Answers

Answer from: xXFLUFFYXx

The angular velocity and work done is required.

The angular velocity of the turntable is 0.40625 rad/s counter clockwise.

The work done is 112.73 J.

m_w = Mass of woman = 65 kg

I_t = Moment of inertia of turntable = $480\ \text{kg/m}^2$

r = Radius = 2 m

v = Velocity = 1.5 m/s

Inertia of woman

$I_w=m_wr^2\\\Rightarrow I_w=65\times 2^2\\\Rightarrow I_w=260\ \text{kg/m}^2$

Angular velocity of woman

$\omega_w=\dfrac{v}{r}\\\Rightarrow \omega_w=\dfrac{1.5}{2}\\\Rightarrow \omega_w=0.75\ \text{rad/s}$

As the angular momentum is conserved

$I_w\omega_w=I_t\omega_t\\\Rightarrow \omega_t=\dfrac{I_w\omega_w}{I_t}\\\Rightarrow \omega_t=\dfrac{260\times 0.75}{480}\\\Rightarrow \omega_t=0.40625\ \text{rad/s}$

Work done is given by

$W=\dfrac{1}{2}m_wv^2+\dfrac{1}{2}I_t\omega_t^2\\\Rightarrow W=\dfrac{1}{2}\times 65\times 1.5^2+\dfrac{1}{2}\times 480\times 0.40625^2\\\Rightarrow W=112.73\ \text{J}$

Learn more:

link

Answer from: jaylaa04

A 65.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 480 kg · m2 and a radius of 2.00 m. The turntable is initially at rest and is free to rotate about a frictionless vertical axle through its center. The woman then starts walking around the rim clockwise (as viewed from above the system) at a constant speed of 1.50 m/s relative to the Earth.

(a) In what direction and with what angular speed does the turntable rotate?

(b) How much work does the woman do to set herself and the turntable into motion?

The answers are

(a) 0.40625 rad/s ccw

(b) 112.73 J

Explanation:

To solve the question we have

Mass of woman = 65. kg

Moment of inertia of the turntable = 480 kg·m²

Radius of turntable = 2.00 m

Speed of woman = -1.50 m/s, clockwise motion

Sum of anguar momentum = constant

Therefore Inital total angular momentum = Finat toatal momentum

M₁ₐ, M₁ₓ = initial and final momentum of turn table and M₂ₐ, M₂ₓ for the woman

Therefore

M₁ₐ + M₂ₐ = M₁ₓ + M₂ₓ

Since the momentum = Inertia, I multiplied by angular velocity, ω, we have

I₁×ω₁ = -I₂×ω₂ and

ω₁ = -I₂×ω₂÷I₁

Which gives m·r²×v/r÷I₁ where ω = v/r and I = m·r²

=-m·r·v÷l₁, Substituting the values for the mass, radius, the speed and the moment of inertia of the turntable gives

=- 65×2×-1.5÷480 = 0.40625 rad/s ccw

The work done can be found from

Total work = change in kinetic ennergy

= Initial Kinetic energy of the system less final kinetic energy of the system

= Kinetic energy of the woman + Kinetic energy of the turntable - 0

1/2×I₁×ω₁² + 1/2×m×v₂²

= 1/2×480 kg·m²×(0.40625 rad/s)² +1/2×65 kg×(-1.5 m/s) ²

= 112.734375 kg·m/s ≈ 112.73 J

Answer from: Quest

answer: a ball

explanation: because it will bounce

Answer from: Quest

This is what i found “in a gas turbine engine, the combustor or combustion chamber is fed high pressure air by the compression system. early gas turbine engines used a single chamber known as a can type combustor. today three main configurations exist: can, annular and cannular (also referred to as can-annular tubo-annular).” i hope this you for what your looking for. can you plz mark me brainliest?

Another question on Physics

Physics, 22.06.2019 03:00

Which of the following is not a part of the respiratory system? a. pharynx b. trachea c. pancreas d. larynx

Answers: 1

Answer

Physics, 22.06.2019 10:00

The rocket is fired vertically and tracked by the radar station shown. when θ reaches 66°, other corresponding measurements give the values r = 32700 ft, r¨ = 85 ft/sec2, and θ˙ = 0.019 rad/sec. calculate the magnitudes of the velocity and acceleration of the rocket at this position.

Answers: 3

Answer

Physics, 22.06.2019 11:30

1. a camcorder has a power rating of 19 watts. if the output voltage from its battery is 7 volts, what current does it use?answer units 2. a 1.5m wire carries a 6 a current when a potential difference of 57 v is applied. what is the resistance of the wire? your

Answers: 2

Answer

Physics, 22.06.2019 19:50

The heater element of a 120 v toaster is a 5.4 m length of nichrome wire, whose diameter is 0.48 mm. the resistivity of nichrome at the operating temperature of the toaster is 1.3 × 10-6 ω·m. the toaster is operated at a voltage of 120 v. (a) what is the power drawn by the toaster? (b) if the cost of electricity is 12 ¢ per kilowatt-hour, and it takes 2 minutes to toast bread, how much does it cost for toasted bread? (c) when the heater element is at room temperature, is the resistivity in the nichrome wire greater than, less than, or equal to it’s resistivity when at operating temperature? explain.

Answers: 3

Answer

You know the right answer?

A 65.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 480 kg · m...

Questions