$(a)$ Define uniform circular motion.
$(b)$ Ram goes for a morning walk in a circular park daily. He completes one revolution of the park in $4$ minutes. Find his speed if the diameter of the park is $420\, m$.
$(c)$ Draw velocity$-$time graph for uniform motion along a straight line. How can you find the distance covered by a body from this graph?

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) body is said to be in uniform circular motion if it moves along a circular path with a constant speed.
$(b)$ Given:
Time $(t) = 4 \text{ minutes} = 4 \times 60 = 240 \text{ s}$
Diameter $(d) = 420 \text{ m}$
Radius $(r) = d / 2 = 420 / 2 = 210 \text{ m}$
Total distance $(S)$ covered in one revolution $= 2 \pi r = 2 \times (22 / 7) \times 210 = 1320 \text{ m}$
Speed $(v) = \text{Distance} / \text{Time} = 1320 / 240 = 5.5 \text{ m s}^{-1}$
$(c)$ The velocity$-$time graph for uniform motion along a straight line is a straight line parallel to the time axis. The area under the velocity$-$time graph gives the distance covered by an object.

Explore More

Similar Questions

What do you understand by the displacement-time graph? Draw a displacement-time graph for a girl going to school with uniform velocity. How can we calculate the uniform velocity from it?

$(a)$ When will you say a body is in $(i)$ uniform motion $(ii)$ non-uniform motion?
$(b)$ Show the path of an object when it is in uniform motion with the help of a graph.

The average time taken by a normal person to react to an emergency is $1/15$ of a second and is called the 'reaction time'. If a bus is moving with a velocity of $60 \, km/h$ and its driver sees a child running across the road,how much distance would the bus have moved before he could press the brakes? The reaction time of the people increases when they are intoxicated. How much distance would the bus have moved if the reaction time of the driver were $1/2 \, s$ under the influence of alcohol?

Difficult
View Solution

The slope of the line on a position-time graph reveals information about an object's velocity. What conclusion can you draw regarding the motion of an object,if the graph is a
$(i)$ Horizontal line.
$(ii)$ Straight diagonal line.
$(iii)$ Curved line.

The position-time graph for the motion of a car is given below.
$(i)$ How far did the car travel in the time interval $2 \, s$ to $6 \, s$?
(ii) During which interval of time was its speed greater?
(iii) Calculate the average speed of the car.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo