A rotating table completes one rotation in 10 sec

Asked by admin @ 23/08/2021 in Physics viewed by 300 People

A rotating table completes one rotation in 10sec. and it's moment of inertia is 100kg-m2. A person of mass 50kg stands at the centre of rotating table. If the person moves 2meter from the center, the angular velocity of rotating table is?

Answered by admin @ 23/08/2021

The angular velocity of rotating table is 0.2095 $(\frac{rad}{s})$ , it will complete one rotation in 30 second.

Explanation:

1. Here no external torque is acting so angular momentum of table is constant.

Means

Initial angular momentum= final angular momentum

$I_{1}\omega _{1}=I_{2}\omega _{2}$ ...1)

Where

$I_{1}$ = initial mass moment of inertia = 100 $kgm^{2}$

$I_{2}$ = Final mass moment of inertia = $100 + MX^{2}=100 + 50\times 2^{2}=300 (kgm^{2})$ ...2)

2. In equation 2)

$MX^{2}$ = mass moment of inertia of man with respect to centre of rotation

M = mass of man =50 kg

X = distance from centre of rotation = 2 m

3. In equation 1)

$\omega _{1}$ = initial angular velocity = $\frac{2\pi }{10} (\frac{rad}{s})$

4. Now from equation 1)

$I_{1}\omega _{1}=I_{2}\omega _{2}$

$100\times (\frac{2\pi }{10})=300\times \omega _{2}$ ...3)

5. On solving equation 3)

We get

$\omega _{2}= \frac{2\pi }{30}= \frac{2\times 22}{30\times 7}=0.2095 (\frac{rad}{s})$

It angular speed of table is 0.2095 radiant per second we can also say table complete one rotation in 30 second.

How many minutes the earth takes to complete one rotation

Asked by admin @ 06/08/2021 in Science viewed by 319 persons

How many minutes the earth takes to complete one ratation

How many degrees does the earth rotate in one hour

Asked by admin @ 02/08/2021 in Physics viewed by 353 persons

How many degrees does the earth rotate in an hour on its own axis?

The earth completes one rotation on its axis in

Asked by admin @ 17/08/2021 in Geography viewed by 355 persons

The earth complete one rotation on its axis in

It takes the earth 365 days to make one complete

Asked by admin @ 05/11/2021 in Physics viewed by 292 persons

The rotation of earth takes approximately _______ to complete, and the revolution of earth takes approximately _______ to complete. A. 1 day, 30 days B. 12 hours, 24 hours C. …

Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x).

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 488 persons

1. Complete the table below to solve the equation 2.5x – 10.5 = 64(0.5x). x f(x) = 2.5x – 10.5 g(x) = 64(0.5x) 2 3 4 5 6

How did the one-child policy result in large numbers of undocumented chinese?

Asked by maham237 @ 22/12/2020 in History viewed by 369 persons

How did the one-child policy result in large numbers of undocumented Chinese? The Chinese government could not keep up with the vast amount of paperwork required to document children. Many …

The table represents the function f(x). when f(x) = –3, what is x? –29 –10 –3 –1

Asked by maham237 @ 23/12/2020 in Mathematics viewed by 345 persons

The table represents the function f(x). When f(x) = –3, what is x? –29 –10 –3 –1

What is the exponential function modeled by the following table? x f(x) 2 10 3 28 4 82

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 487 persons

What is the exponential function modeled by the following table? x f(x) 2 10 3 28 4 82 f(x) = 2x f(x) = 2x + 1 f(x) = 3x f(x) …

How to find other endpoint given one and a midpoint

Asked by admin @ 04/12/2021 in Mathematics viewed by 456 persons

What is the formula to find an endpoint when you are given one endpoint and the midpoint? example: Find the missing endpoint if S is the midpoint RT.R(-9, 4) and …

How to find average rate of change from a table

Asked by admin @ 03/12/2021 in Mathematics viewed by 323 persons

Use the table to calculate the average rate of change of f(x) over the interval [0, 4].

What is the most reactive element on the periodic table

Asked by admin @ 30/11/2021 in Chemistry viewed by 349 persons

Where are the most reactive elements on the periodic table? What makes one element more reactive than another?

How to learn 1 to 20 elements of periodic table

Asked by admin @ 30/11/2021 in Chemistry viewed by 319 persons

How to remember the first 20 elements of the periodic table?

A box contains 8 red marbles and 3 green ones

Asked by admin @ 30/11/2021 in Mathematics viewed by 291 persons

A box contains two red marbles, three green marbles, and three blue marbles. If we choose the marble, then another marble without putting the first one back in the box, …