Answer:
All three pendulums will have the same angular frequencies.
Explanation:
For a simple pendulum, the time period using the approximation is expressed as:
The angular frequency is defined as
Since the angular frequency remains unaffected by the initial angle (valid strictly for small angle approximations), we deduce that the angular frequencies of the three pendulums are identical.
Answer:
The mass will be 4.437 kg
Explanation:
The force constant k is given as 7 N/m
The time period of oscillation T is 5 sec
Thus, angular frequency
It is known that angular frequency is computed via
Squaring both sides gives us
The mass equals 4.437 kg
Answer:
The air exiting from the hairdryer is moving at a speed of 10 m/s.
Explanation:
The thrust generated by the hairdryer enables it to maintain an elevation angled at 5° from vertical; thus, we derive from the force diagram
by substituting ,
into the equation and resolving for
we find:
This thrust is linked to the speed of air ejection through the equation
where signifies the rate of air ejection, which is known to be
and since ,
by inserting these values into equation (2), we obtain the value of as:
resulting in
which indicates the air velocity discharged from the hairdryer.
