Centripetal Force vs Gravity


by Sakha
Tags: centripetal, force, gravity
Sakha
Sakha is offline
#1
Sep7-08, 10:19 PM
P: 295
I was learning a bit of centrifugal/centripetal forces, and then I asked myself. If at the equator, the Earth rotates at about 1,700 kilometers per hour, then why don't we go flying outside the earth due to the absence of centripetal forces. And if the gravity is enough to keep us on Earth, then the real acceleration due to gravity should be smaller because the centrifugal forces are pushing us outside the Earth.

Thanks in advance
Phys.Org News Partner Physics news on Phys.org
Physicists design quantum switches which can be activated by single photons
'Dressed' laser aimed at clouds may be key to inducing rain, lightning
Higher-order nonlinear optical processes observed using the SACLA X-ray free-electron laser
matematikawan
matematikawan is offline
#2
Sep8-08, 12:26 AM
P: 330
The centripetal force per unit mass acting on the body at the equator is v2/R. This value is negligible compare to g=9.8 m/s2.
atyy
atyy is offline
#3
Sep8-08, 02:13 AM
Sci Advisor
P: 8,005
Gravity is the centripetal force that keeps us from flying away. If gravity were to suddenly disappear, we would all immediately fly off tangentially to the earth's surface because of our angular momentum.

Yes, the real acceleration due to gravity is actually bigger than what we measure in a naive experiment. In a naive experiment, we don't take the rotation of the earth into account, and what we measure as g (say by using a pendulum) contains gravity and the centrifugal force due to the fact that we are in a rotating frame of reference.

matematikawan
matematikawan is offline
#4
Sep8-08, 02:48 AM
P: 330

Centripetal Force vs Gravity


I remember reading somewhere. It said that if the earth where to spin with twice the current rate(i.e. 12hrs) , we will be thrown into the outer space.

Today, is the earth spinning getting slower or faster ?
D H
D H is offline
#5
Sep8-08, 09:59 AM
Mentor
P: 14,456
Quote Quote by atyy View Post
Yes, the real acceleration due to gravity is actually bigger than what we measure in a naive experiment.
There is no way to directly measure the acceleration due to gravity. This is a direct consequence of the weak equivalence principle, which has been verified to within a few parts per 1013, making this one of the most accurately verified of all physical laws. Gravity measurements are inherently indirect measurements because gravity is a fictitious force, just as is centrifugal force. Your "naive" experiments are the only kind of experiments that can be performed.

Quote Quote by matematikawan View Post
I remember reading somewhere. It said that if the earth where to spin with twice the current rate(i.e. 12hrs) , we will be thrown into the outer space.
Off by nearly an order of magnitude. The Earth would have to rotate once per 1.41 hours, or 17 times faster than its current rate, and then only objects directly at the equator would be thrown into outer space.

Not too likely, since the Earth's rotation rate is slowing down. Asteroids are a different issue. Solar heating can make asteroids spin faster and faster through the YORP effect. Some asteroids spin so fast that they break apart, 1999 KW4, for example.
matematikawan
matematikawan is offline
#6
Sep10-08, 07:26 PM
P: 330
Hi D H,

Of course you shouldn't believe me!. I didn't state the reference and I didn't went through the calculation. I'm nobody in the physicsforums. How do you guys obtained those awards ?


Register to reply

Related Discussions
centripetal forces and gravity Astrophysics 0
ranking net force/ centripetal force problem Introductory Physics Homework 1
Centripetal Force. Introductory Physics Homework 2
Centripetal Force Introductory Physics Homework 1