Forces Can someone check this?

  • Thread starter fuzzy
  • Start date
  • Tags
    Forces
In summary, Francesca is in a jetliner taking off from JFK Airport and she notices that the string holding her watch makes a 25° angle with the vertical as the aircraft accelerates for takeoff, which takes about 18 seconds. Based on this, they estimate the takeoff speed of the aircraft to be around 300 km/h. This is calculated by using the formula tan(25)=a/9.8 to determine the acceleration, and then using V=Vo+at to find the velocity, which is approximately 82.2m/s. The accuracy of this estimation indicates that the takeoff speed is realistic.
  • #1
fuzzy
6
0
Francesca dangles her watch from a thin piece of string while the jetliner she is in takes off from JFK Airport. She notices that the string makes an angle of 25° with respect to the vertical while the aircraft accelerates for takeoff, which takes about 18s. Estimate the takeoff speed of the aircraft.

k so you know that the force of gravity is mg and it's going down, and that the acceleration is ma along the horizontal, and so can you take the tan(25)=a/9.8 to get an acceleration of 4.57m/s^2?

And so for velocity you would get V=Vo+at
V=0+(4.57)(18)
V=82.2m/s?

thanks for reading
 
Last edited:
Physics news on Phys.org
  • #2
It seems to be correct. Which means the take-off speed is around 300 km/h which is realistic.
 
Last edited:
  • #3
!

I would like to point out that your calculations assume that there are no other forces acting on the aircraft during takeoff. However, in reality, there are several other forces at play, such as air resistance and thrust from the engines. Therefore, the acceleration and velocity calculations may not be entirely accurate. Additionally, the angle of the string may not be a reliable indicator of the aircraft's acceleration as it could be affected by turbulence or other external factors. To accurately estimate the takeoff speed of the aircraft, it would be necessary to take into account all the forces acting on it and use more precise measurements and calculations.
 

1. What is a force?

A force is a push or pull that acts on an object, causing it to move, stop, or change direction.

2. What are the different types of forces?

There are four fundamental forces in nature: gravity, electromagnetism, strong nuclear force, and weak nuclear force. In everyday life, forces can be categorized as contact forces (such as friction and tension) and non-contact forces (such as gravity and magnetic forces).

3. How do forces affect motion?

Forces can cause objects to accelerate, decelerate, or change direction. According to Newton's first law of motion, an object will remain at rest or in uniform motion unless acted upon by a force. In other words, forces can cause a change in an object's velocity.

4. How do you calculate forces?

To calculate the force acting on an object, you can use the formula F = ma, where F is force, m is mass, and a is acceleration. The unit of force is Newton (N).

5. How do forces interact with each other?

Forces can interact with each other in different ways. When forces act in the same direction, they can be added together. When forces act in opposite directions, they can cancel each other out. Forces can also act at different angles, which can be calculated using trigonometry.

Similar threads

  • Introductory Physics Homework Help
Replies
2
Views
6K
  • Introductory Physics Homework Help
Replies
9
Views
2K
  • Introductory Physics Homework Help
Replies
6
Views
8K
  • Introductory Physics Homework Help
Replies
4
Views
15K
  • Introductory Physics Homework Help
Replies
8
Views
6K
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
7K
  • Introductory Physics Homework Help
Replies
4
Views
7K
  • Introductory Physics Homework Help
Replies
18
Views
2K
  • Mechanics
Replies
4
Views
828
Back
Top