Mv²/r centripilalforce(derivation)

1.	Mv²/r centripilalforce(derivation)
Answer» Answer: CONSIDER a body with mass m moving about a circular path of radius r at VELOCITY v. If the body commences its rotation at the top of the CIRCLE in the illustration above, its velocity vector will be pointing, say, to the left. Once the body reaches the BOTTOM of the circle, the vector will have reversed its direction completely - therefore, the acceleration of the body during this period will be v−−vt=2vt. The velocity is constant, and so t=xv, where x is the displacement of the body. This will be EQUAL to 2r (the diameter of the motion). Simplifying this, we have that the centripetal acceleration is equal to 2v⋅v2r=2v22r=v2r Assuming that the mass of the body is invariant, we can apply Newton’s second law of motion to find that F=ma=mv2r. This force is causing the circular motion, and acts towards the centre of rotation.

Answer»

Answer:

CONSIDER a body with mass m moving about a circular path of radius r at VELOCITY v.

If the body commences its rotation at the top of the CIRCLE in the illustration above, its velocity vector will be pointing, say, to the left. Once the body reaches the BOTTOM of the circle, the vector will have reversed its direction completely - therefore, the acceleration of the body during this period will be v−−vt=2vt. The velocity is constant, and so t=xv, where x is the displacement of the body. This will be EQUAL to 2r (the diameter of the motion).

Simplifying this, we have that the centripetal acceleration is equal to 2v⋅v2r=2v22r=v2r

Assuming that the mass of the body is invariant, we can apply Newton’s second law of motion to find that F=ma=mv2r. This force is causing the circular motion, and acts towards the centre of rotation.

Discussion

No Comment Found

Related InterviewSolutions

6. Who first identified cells and when?
What is hyaline cartilage??
Melting happens when solid material change into the liquid form
16. It is an inorganic, transparent, tasteless, odorless, and nearly colorless chemical substance.17. It occurs when you use or lose more fluid than you take in, and your body does not have enough water andout its normal functions.18 It occurs when people push themselves too hard during physical activities like Dancing causes injury whenand his or her physical capacity and tolerances of his or her body's soft touc.19. Stretching or tearing of ligaments,20. Stretching or tearing tendons or muscles.21. Refers to a group of heat-related conditions characterized by an abnormally high body temperature in otherof hypothermia22.Occurs when the body's heat-regulation system becomes overwhelmed by outside factors, causing amperature to rise23. It is a medical emergency that occurs when your body loses heat faster than it can produce heat, causingody temperature24. Occurs as your body temperature falls below 95 F (35 C).25. It is used by our body cells, organs, and tissues to help regulate its temperature and maintain other bodilyration.
Why does sun appear blue in colour
It refers to the size or strenght of the force?A.friction B.direction C.magnitude D.gravitation
What is work and state it's SI unit.
Co2+CaCo3+H2o→ Answers this question
What is motion how motion is measured in different terms
What do u understand of Einstein's nature from his conversations with his history teacher, his Mathematics teacher and the head teacher.Don't spam