Advertisements
Advertisements
प्रश्न
A body is moving along a circular path of radius R. What will be the distance travelled and displacement of the body when it completes half a revolution ?
Advertisements
उत्तर
We have to analyse the distance and displacement of a body that has covered half the perimeter of a circle.
Distance travelled in half a rotation of a circular path is equal to the circumference of semi-circle.
Distance travelled = πR
Displacement is calculated from the initial and final positions of a body. It is independent of the path covered. So, displacement is the diameter of the semi-circle.
Hence, displacement is 2R, where R is the radius of the circular path.
APPEARS IN
संबंधित प्रश्न
An athlete completes one round of a circular track of diameter 200 m in 40 s. What will be the distance covered and the displacement at the end of 2 minutes 20 s?
A boy walks from his classroom to the bookshop along a straight corridor towards North. He covers a distance of 20 m in 25 seconds to reach the bookshop. After buying a book, he travels the same distance in the same time to reach back in the classroom. Find (a) average speed, and (b) average velocity, of the boy.
In which of the following cases of motion, the distance moved and the magnitude of displacement are equal?
The following table gives the displacement of a car at different instants of time.
| Time (s) | 0 | 1 | 2 | 3 | 4 |
| Displacement (m) | 0 | 5 | 10 | 15 | 20 |
- Draw the displacement-time sketch and find the average velocity of the car.
- What will be the displacement of the car at (i) 2.5 s and (ii) 4.5 s?
From the displacement – time graph shown given below calculate:
- Average velocity in the first three seconds.
- Displacement from the initial position at the end of 13 s.
- Time after which the body is at the initial position,
- Average velocity after 8 s.
A motorbike running at 90 kmh−1, is slowed down to 54 kmh−1 by the application of brakes, over a distance of 40 m. If the brakes are applied with the same force, calculate
- total time in which bike comes to rest
- total distance travelled by bike.
Ashok starts from his house and travels 3 km to reach his school. On finding the school gates closed, he returns to his house. What is?
The distance traveled by Ashok.
A 50 m long train passes over a bridge at a speed of 30 km/h. If it takes 36 seconds to cross the bridge, calculate the length of the bridge.
Distinguish distance and displacement.
If the displacement-time graph of a particle is parallel to the time axis, the velocity of the particle is ______.
