How Can You Calculate Plane Acceleration with a Watch on a String?

In summary, string is often used as a tool to measure the acceleration of an object. It can be attached to an object and swung in a circular motion, with the tension on the string providing a measure of the object's acceleration. Several factors, including the length of the string, the mass of the object, and the tension in the string, can affect the acceleration of an object on a string. While string does not directly affect the acceleration of an object in free fall, it can be used to measure the acceleration. Some practical applications of using string to measure acceleration include amusement park rides, sports, physics experiments, and calibrating instruments.
  • #1
engineer2010
10
0
Another Problem

A watch is tied to a string on an airplane. As the airplane takes off the string makes an angle of 25* to the vertical. The accleration takes about 18s. What is the accleration of the plane.

I drew a free body diagram, but I am confused as to how I would solve this without knowing the mass of the watch or the tension of the string.
 
Physics news on Phys.org
  • #2
Just call the tension T and the mass m and solve for the acceleration.
 
  • #3
Can you provide more information or clarify the problem? Without these variables, it is not possible to accurately determine the acceleration of the plane. Additionally, the angle of the string does not provide enough information to calculate the acceleration. The acceleration of the plane would depend on its thrust, mass, and air resistance, among other factors.
 

Related to How Can You Calculate Plane Acceleration with a Watch on a String?

What is the relationship between string and acceleration?

The string is often used to measure the acceleration of an object. When an object is attached to a string and swung in a circular motion, the string will become taut due to the acceleration of the object. The greater the acceleration of the object, the tighter the string will become.

How is string used to measure acceleration?

String can be used as a simple tool to measure acceleration. By attaching an object to a string and swinging it in a circular motion, the tension on the string can be used to calculate the acceleration of the object using the formula a=v^2/r, where v is the velocity of the object and r is the radius of the circular motion.

What factors affect the acceleration of an object on a string?

The acceleration of an object on a string can be affected by several factors, including the length of the string, the mass of the object, and the tension in the string. The longer the string, the larger the radius of the circular motion and the slower the acceleration will be. A heavier object will have a greater inertia and therefore require more force to accelerate, resulting in a slower acceleration. The tension in the string also plays a role, as a tighter string will provide more force and result in a faster acceleration.

Can string affect the acceleration of an object in free fall?

In free fall, the acceleration of an object is solely determined by the force of gravity. However, string can be used to measure the acceleration of an object in free fall by attaching the object to a string and measuring the tension as it falls. This tension can then be used to calculate the acceleration of the object.

What are some practical applications of using string to measure acceleration?

String can be used to measure acceleration in various situations, such as in amusement park rides, sports, and physics experiments. It can also be used to calibrate instruments and measure the acceleration of vehicles. Additionally, string can be used to demonstrate the concept of centripetal force and acceleration in a classroom setting.

Similar threads

Resolving forces: Mass on a string
    • Introductory Physics Homework Help
Replies
4
Views
3K
Rotational mechanics string wrap around twig
    • Introductory Physics Homework Help
Replies
26
Views
2K
Direction of a rope with a ball inside an accelerating box
    • Introductory Physics Homework Help
Replies
5
Views
982
Finding the period of pulley system
    • Introductory Physics Homework Help
Replies
22
Views
2K
Tension in 4 strings suspending object at 4 different points
    • Introductory Physics Homework Help
Replies
19
Views
3K
Tension in the string and tangential accleration
    • Introductory Physics Homework Help
Replies
11
Views
1K
Calculating tensions and acceleration
    • Introductory Physics Homework Help
Replies
10
Views
2K
A small mass m hangs from a thing string and can swing....
    • Introductory Physics Homework Help
Replies
5
Views
4K
Resolving forces involving an elastic string
    • Introductory Physics Homework Help
Replies
1
Views
1K
Does Tension Increase with Higher Angles in a String?
    • Introductory Physics Homework Help
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top