Helicopter Physics: Solving the Time of Release Problem

In summary, by using the equation of motion with converted units, the time elapsed for the passenger to drop the object from the helicopter window after lift off can be calculated. It is important to pay attention to the signs of the variables in order to get the correct answer.
  • #1
mekias4
4
0
A helicopter's window is 5 ft above its skids. The helicopter starts on the ground and lifts straight into the air at a constant speed of 2 mph. A passenger in the helicopter drops an object from the window and the object hits the ground at 25 mph. How long did the passenger wait after lift off before releasing the object?

I am not sure what formulas to use for this problem and and do I want to figure out time final or time initial. Please help explain this to me.
 
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  • #2
I'd look at this with an equation of motion:

Convert 2mph and 25mph to SI units.

Using v = u + at
where v = final speed, u = initial speed, a = acceleration due to gravity.

From there you can calculate t.

Note: Remember to get your signs right or your answer will be wrong, u will not be 0 to begin.
 

1. How do helicopters stay in the air?

Helicopters stay in the air through the principle of aerodynamics. The main rotor blades of a helicopter create lift by moving through the air at a high speed, generating a pressure difference between the top and bottom surfaces of the blades. This lift force counteracts the weight of the helicopter, allowing it to stay in the air.

2. How does the tail rotor affect the flight of a helicopter?

The tail rotor of a helicopter is responsible for controlling its direction and preventing it from spinning out of control. The tail rotor produces a sideways force, known as thrust, which counteracts the torque produced by the main rotor. This allows the pilot to steer the helicopter in different directions.

3. What factors affect the maximum altitude a helicopter can reach?

The maximum altitude a helicopter can reach is influenced by several factors, including air density, temperature, and weight. As altitude increases, air density decreases, which affects the lift force generated by the rotor blades. Additionally, high temperatures can reduce engine power, limiting the ability of the helicopter to climb higher. The weight of the helicopter also plays a role, as a heavier helicopter will require more power to reach higher altitudes.

4. How do helicopters change direction?

Helicopters can change direction by using a combination of the main rotor and tail rotor. Tilting the main rotor in a certain direction will cause the helicopter to move in that direction, while using the tail rotor to produce thrust in the opposite direction will counteract any unwanted spinning. Additionally, helicopters can also change direction by banking, similar to how an airplane turns.

5. What is auto-rotation and how does it work?

Auto-rotation is a technique used in emergency situations where the engine of a helicopter fails. In this situation, the pilot will reduce the pitch of the main rotor blades, allowing the helicopter to descend slowly and safely. The air flowing upwards through the rotor blades will still produce lift, keeping the helicopter in the air until it reaches the ground. The pilot can then use the tail rotor to control the direction of the descent and land the helicopter safely.

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