A satellite while revolving around the earth completes one revolution in $1$ hour and $30$ minutes. What is the angular speed of the satellite ?
$t=1\, h \,30$ min $=90 m =90 \times 60=5400 s ;$ angle
covered in one revolution $=2 \pi$ radian, $\omega=?$
Applying $\omega=\frac{\theta}{t} ; \omega=\frac{2 \pi}{5400}=\frac{\pi}{2700} rads ^{-1}$
Give one similarity and one dissimilarity between the two graphs
Explain the differences between the two graphs.
A motor bike running at $90\, km h ^{-1}$ is slowed down to $18 \,km h^{-1}$ in $2.5\, s$. Calculate
$(i)$ acceleration
$(ii)$ distance covered in the time it slows down
All buses and cars these days are fitted with a speedometer, which shows the velocity of the vehicle. A device called odometer records the distance moved by the vehicle. If the reading on the odometer of a vehicle in the beginning of a trip and after $40$ minutes were $1048\, km$ and $1096\, km$ respectively, calculate its average velocity. Will the reading on the speedometer show this velocity when the vehicle is moving ? Support your answer with reason.
$(a)$ 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 ?