A particle is moving along a circle of radius R such that it completes one revolution in 40 seconds. What will be the displacement after 2 minutes 20 seconds?

a)
6R

b)
2R

c)
4R

d)
R

Correct answer is option 'B'. Can you explain this answer?

Question

A particle is moving along a circle of radius R such that it completes one revolution in 40 seconds. What will be the displacement after 2 minutes 20 seconds?

a)
6R
b)
2R
c)
4R
d)
R

Correct answer is option 'B'. Can you explain this answer?

Answer

1 revolution in 40 seconds

In 1 second it covers = 1/40 revolution

In 140 sec = 1/40 * 140 =7/2 rotation = 3 and half rotation

Then the particle will be on the diametrically opposite end.

Therefore, Displacement = R + R = 2R

Answer

Given:
- Particle is moving along a circle of radius R
- It completes one revolution in 40 seconds
- Time = 2 minutes 20 seconds = 140 seconds

To find: Displacement of the particle after 2 minutes 20 seconds

Solution:
- One revolution is completed in 40 seconds
- Therefore, in 1 second, the particle covers 1/40th of the circumference of the circle
- Circumference of a circle = 2πR
- Therefore, in 1 second, the particle covers 2πR/40 distance
- In 140 seconds, the particle covers (2πR/40) x 140 distance
- Simplifying, we get the displacement as (7πR/2) or 3.5πR

- Option B says the displacement is 2R
- This is not equal to (7πR/2) or 3.5πR
- Therefore, option B is incorrect

- Option A says the displacement is 6R
- This is not equal to (7πR/2) or 3.5πR
- Therefore, option A is incorrect

- Option C says the displacement is 4R
- This is not equal to (7πR/2) or 3.5πR
- Therefore, option C is incorrect

- Option D says the displacement is R
- This is not equal to (7πR/2) or 3.5πR
- Therefore, option D is incorrect

- Hence, the correct answer is option B, which says the displacement is 2R.

Answer

Given:
- A particle is moving along a circle of radius R
- It completes one revolution in 40 seconds

To find:
- Displacement after 2 minutes 20 seconds

Solution:
- One revolution is completed in 40 seconds
- In 2 minutes 20 seconds, the number of revolutions completed by the particle can be calculated as follows:
- 2 minutes 20 seconds = 140 seconds
- Number of revolutions = 140/40 = 3.5 revolutions
- As the particle completes one revolution, it comes back to its starting point, hence displacement for 3 revolutions will be zero
- Displacement for 0.5 revolution can be calculated as follows:
- Distance travelled in 0.5 revolution = 0.5 * 2πR = πR
- Displacement = 2Rsin(π/2) = 2R
- Hence, the displacement after 2 minutes 20 seconds will be 2R

Answer:
The correct answer is option b) 2R.

Answer

Given, radius of the circle = R and time taken to complete one revolution = 40 seconds.

To find the displacement after 2 minutes 20 seconds, we need to convert this time into seconds.

2 minutes 20 seconds = 2 × 60 + 20 = 140 seconds.

We know that in one revolution, the displacement of a particle moving along a circle is equal to the circumference of the circle.

Circumference of the circle = 2πR, where π is the constant pi.

Therefore, the displacement of the particle after one revolution = 2πR.

Now, we need to find the number of revolutions completed by the particle in 140 seconds.

Number of revolutions = Total time taken / Time taken for one revolution

Number of revolutions = 140 / 40 = 3.5

This means that the particle completes 3.5 revolutions in 140 seconds.

The fractional part of the number of revolutions indicates how much of a full revolution the particle completes.

In this case, the particle completes 0.5 of a full revolution or 180 degrees in addition to the 3 full revolutions.

Therefore, the displacement of the particle after 3.5 revolutions = 3 × 2πR + 0.5 × 2πR

= 6πR/2

= 3πR

= 3.14R (taking π = 3.14)

Hence, the correct option is (b) 2R, and none of the given options match with the calculated answer.

Answer

Given total time=140sec=40×3+20 and it mean partical covers total 3round and in remaining 20 Sec its displacement is 2r ans

Answer

Can anybody  make its explanation

Answer

Thanks

Answer

I can't understand it...can anyone explain clearly

Answer

Can anybody make its  explanation

Answer

Thanks for explaining

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