Object dropped from tower with deflection problem

  • Thread starter Thread starter telekpsi
  • Start date Start date
  • Tags Tags
    Deflection Tower
Click For Summary
SUMMARY

The discussion focuses on calculating the deflection of an object dropped from a height of 100 meters in a tower at a latitude of 30 degrees north. The deflection is derived in terms of Earth's rotation angular velocity (ω), height (h), gravitational acceleration (g), and mass (m). The specific case of a 1 kg mass dropped from 100 meters is analyzed, leading to a definitive calculation of the deflection based on the established physics principles of motion and rotation.

PREREQUISITES
  • Understanding of classical mechanics, specifically projectile motion.
  • Familiarity with Earth's rotation and angular velocity concepts.
  • Knowledge of gravitational acceleration (g) and its effects on falling objects.
  • Basic calculus for deriving equations of motion.
NEXT STEPS
  • Study the effects of Earth's rotation on falling objects using Coriolis force calculations.
  • Explore advanced topics in classical mechanics, such as non-inertial reference frames.
  • Learn about the mathematical derivation of deflection in rotating systems.
  • Investigate real-world applications of deflection calculations in engineering and physics.
USEFUL FOR

Students in physics or engineering courses, educators teaching mechanics, and professionals involved in dynamics and motion analysis will benefit from this discussion.

telekpsi
Messages
2
Reaction score
0

Homework Statement


a) An object with mass, m, is dropped from height, h, in a tower located at latitude 30 degrees to the north from the equator. How far will it be deflected? Please derive the deflection in terms of Earth's rotation angular velocity omega, h, g, and m. This part needs complete derivation.

b) Calculate the deflection if h=100m and mass=1kg
 
Physics news on Phys.org
There's the rest of the template to fill in too...

Homework Equations

The Attempt at a Solution

 

Similar threads

Replies
40
Views
9K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 19 ·
Replies
19
Views
3K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
1
Views
4K
  • · Replies 11 ·
Replies
11
Views
2K
Replies
21
Views
2K