$(a)$ 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 distance covered by a body from this graph ?
$(a)$ 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 distance covered by a body from this graph ?
$(a)$ A body is said to be in uniform circular motion, if it moves along a circular path with constant speed.
$(b)$ Given $t=4$ min $=4 \times 60=240 s , r=210 m$ $v=$
Total distance covered in one revolution
$S=2 \pi r=2 \times 22 / 7 \times 210=1320 m$
Therefore, speed $=$ distance $/$ time
$=1320 / 240=5.5 m s ^{-1}$
$(c)$ The graph is as shown
.Area under the velocity$-$time graph gives the distance covered by an object.
Similar Questions
Distance$-$time graph below represents the motion of two buses $A$ and $B$
$(i)$ What is the distance by which bus $B$ was ahead of bus $A$ initially ?
$(ii)$ Do they ever meet each other ? If so, when ?
$(iii)$ What is the distance travelled by bus $A$ when it overtakes bus $B$ ?
$(iv)$ Find out the distance by which bus $A$ was ahead of bus $B$ at $y=12 h$
$(v)$ Which one of them is moving faster ? Give reason.
Distance$-$time graph below represents the motion of two buses $A$ and $B$
$(i)$ What is the distance by which bus $B$ was ahead of bus $A$ initially ?
$(ii)$ Do they ever meet each other ? If so, when ?
$(iii)$ What is the distance travelled by bus $A$ when it overtakes bus $B$ ?
$(iv)$ Find out the distance by which bus $A$ was ahead of bus $B$ at $y=12 h$
$(v)$ Which one of them is moving faster ? Give reason.
State which of the following situations are possible and give an example of each of these
$(a)$ A body moving with constant acceleration but with zero velocity.
$(b)$ A body moving horizontally with an acceleration in vertical direction.
$(c)$ A body moving with a constant velocity in an accelerated motion.
State which of the following situations are possible and give an example of each of these
$(a)$ A body moving with constant acceleration but with zero velocity.
$(b)$ A body moving horizontally with an acceleration in vertical direction.
$(c)$ A body moving with a constant velocity in an accelerated motion.
What can you conclude about the motion of a body depicted by the velocity$-$time graphs $(i),(i i)$ and $(i i i)$ given below
What can you conclude about the motion of a body depicted by the velocity$-$time graphs $(i),(i i)$ and $(i i i)$ given below
Diagram shows a velocity$-$time graph for a car starting from rest. The graph has three sections $A B$, $B C$ and $C D$
$(i)$ From a study of this graph, state how the distance travelled in any section is determined.
$(ii)$ Compare the distance travelled in section $BC$ with distance travelled in section $A B$.
$(iii)$ In which section car has zero acceleration ?
$(iv)$ Is the magnitude of acceleration higher or lower than, that of retardation ? Give reason.
Diagram shows a velocity$-$time graph for a car starting from rest. The graph has three sections $A B$, $B C$ and $C D$
$(i)$ From a study of this graph, state how the distance travelled in any section is determined.
$(ii)$ Compare the distance travelled in section $BC$ with distance travelled in section $A B$.
$(iii)$ In which section car has zero acceleration ?
$(iv)$ Is the magnitude of acceleration higher or lower than, that of retardation ? Give reason.
An electric train is moving with a velocity of $120\, km h^{-1} .$ How much distance will it corer in $30 \,s$ ?
An electric train is moving with a velocity of $120\, km h^{-1} .$ How much distance will it corer in $30 \,s$ ?