A particle is executing $SHM$ about $y=0$ along $y$-axis. Its position at an instant is given by $y=(7 \,m )$ sin( $\pi f)$. Its average velocity for a time interval $0$ to $0.5 \,s$ is ........... $m / s$
Medium
Download our app for free and get started
(a)
Average velocity, $v_{\text {avg }}=\frac{\text { displacement }}{\text { total time }}$
Given, $y=7 \sin (\pi t) m , t=0$ to $0.5$
$y$ at $t=0, x_1=7 \sin \left(0^{\circ}\right)=0$
$y$ at $t=0.5$,
$x_2=7 \sin (\pi / 2)=7$
$\therefore V_{\text {avg }}=\frac{7-0}{0.5-0}=14$
$v_{\text {avg }}=14 m / s$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1The figure shows a graph between velocity and displacement (from mean position) of a particle performing $SHM\,:$View Solution
- 2A pendulum is suspended by a string of length $250\,cm$. The mass of the bob of the pendulum is $200\,g$. The bob is pulled aside until the string is at $60^{\circ}$ with vertical as shown in the figure. After releasing the bob. the maximum velocity attained by the bob will be________ $ms ^{-1}$. (if $g=10\,m / s ^{2}$ )View Solution
- 3A simple pendulum oscillating in air has period $T.$ The bob of the pendulum is completely immersed in a non-viscous liquid. The density of the liquid is $\frac {1}{16}$ of the material of the bob. If the bob is inside liquid all the time, its period of oscillation in this liquid isView Solution
- 4Due to some force $F_1$ a body oscillates with period $4/5\, sec$ and due to other force $F_2$ oscillates with period $3/5\, sec$. If both forces act simultaneously, the new period will be .... $\sec$View Solution
- 5If the length of simple pendulum is increased by $300\%$, then the time period will be increased by ..... $\%$View Solution
- 6View SolutionIn damped oscillation graph between velocity and position will be
- 7Consider the following statements. The total energy of a particle executing simple harmonic motion depends on itsView Solution
$(1)$ Amplitude $(2) $ Period $(3)$ Displacement
Of these statements
- 8A body executes simple harmonic motion. The potential energy $(P.E.)$, the kinetic energy $(K.E.)$ and total energy $(T.E.)$ are measured as a function of displacement $x$. Which of the following statements is trueView Solution
- 9View SolutionIdentify the correct definition
- 10A particle executes simple harmonic motion along a straight line with an amplitude $A$. The potential energy is maximum when the displacement isView Solution