Question

Physics subject. ▪︎ a force of 200N is applied to an object of area 2 m^2. calculate the pressure.
▪︎ pendulum completes 15 oscillations in 5 seconds find the frequency of the pendulum.
▪︎ what is the time period of a pendulum which is vibrating with a frequency of 10 Hertz.
▪︎what is the speed of sound of iron, air and water.

answer with good explanation.​

Answer 1

Question :

A force of 200 N is applied to an object of area 2 m². Calculate the pressure.

Required Answer :

$\bf{ \underline{ \underline{Given: }}}$

• Force applied = 200 N.
• Area = 2 m².

$\bf{ \underline{ \underline{To \: Find: }}}$

• Pressure.

$\bf{ \underline{ \underline{Calculations: }}}$

❖ Here, we are provided with the force applied and area of the object. So, in order to calculate the pressure,

Formula used :

• $\boxed{ \pink{ \rm{ \pmb{ \underline{Pressure = \dfrac{Force}{Area}}}}}}$

Where,

• Force = 200 N

• Area = 2 m²

Now, putting the values in the equation,

$\longrightarrow \sf Pressure = \cancel\dfrac{200 \: N}{2 \: m^2 }$

On cancelling the numbers,

$\longrightarrow \boxed{\rm{ \pmb{ Pressure = 100 \: N/m^2}}}$

• Here, N/m² stands for Newton per square metre. Also, we can say that pressure is 100 pascals. [100 pa]

Therefore,

• The pressure is 100 pascals.

______________________________

Question :

A pendulum completes 15 oscillations in 5 seconds. Find the frequency of the pendulum.

Required Answer :

$\bf{ \underline{ \underline{Given: }}}$

• Total number of oscillations = 15 oscillations

• Time taken by the pendulum to oscillate 15 times = 5 seconds.

$\bf{ \underline{ \underline{To \: Find: }}}$

• The frequency of the pendulum.

$\bf{ \underline{ \underline{Calculations: }}}$

❖ Here, we are provided that a pendulum oscillates 15 oscillations in 5 seconds. So, in order to calculate its frequency,

Formula used :

• $\boxed{ \pink{ \rm{ \pmb{ \underline{Frequency = \dfrac{Number \: of \: oscillations}{Total \: time \: taken}}}}}}$

Now, putting the values in the equation,

$\longrightarrow \sf Frequency = \cancel\dfrac{15}{5}$

On cancelling the numbers,

$\longrightarrow \boxed{\rm{ \pmb{Frequency = 3 \: hertz}}}$

Therefore,

• The frequency of the pendulum is 3 hertz.

_____________________________

Question :

What is the time period of a pendulum which is vibrating with a frequency of 10 Hertz.

Required Answer :

$\bf{ \underline{ \underline{Given: }}}$

• Frequency of the pendulum is 10 hertz.

$\bf{ \underline{ \underline{To \: Find: }}}$

• Time period of the pendulum.

$\bf{ \underline{ \underline{Calculations: }}}$

Formula used :

• $\boxed{ \pink{ \rm{ \pmb{ \underline{Time \: period = \dfrac{1}{Frequency}}}}}}$

Now, putting the values in the equation,

$\longrightarrow \sf Time \: period_{(Pendulum)} = \dfrac{1}{10}$

By performing division,

$\longrightarrow \boxed{\rm{ \pmb{Time \: period_{(Pendulum)} = 0.1 \: sec}}}$

Therefore,

• Time period of the pendulum is 0.1 second.

____________________________

Question :

What is the speed of sound of iron, air and water.

Required Answer :

• Iron → 5000 m/s

• Air → 340 m/s

• Water → 1500 m/s