![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
Know the linear velocity, how to find the centripetal acceleration
It's simple:
We know V, ω
So the radius of circular motion r = V / ω
So centripetal acceleration:
a=R×ω^2=(v/ω)×ω^2=vω
The greater the angular velocity, the greater the linear velocity, the smaller the radius, and the greater the centripetal acceleration
A = (V ^ 2) / r = (ω ^ 2) r = ω V, according to several formulas, combined with what you know, you can see the magnitude of centripetal acceleration. When R is fixed, V is equivalent to ω, when a is large, ω is fixed, V is equivalent to R, when a is large, V is fixed, ω is large, etc
How to calculate that the linear velocity of a geostationary satellite is greater than that of an object at the equator of the earth
V = Δ L / Δ t l is the circumference. The L of the synchronous satellite is larger than that at the equator, but the time is equal, so it is correct
What are the characteristics of the linear velocity and angular velocity of the geostationary satellite launched at the earth's equator compared with the equator?
At the same angular velocity, the linear velocity of the satellite is 6 times that of the earth, because the distance between the geostationary satellite and the ground is 5 times the radius of the earth
The geostationary satellite is located above the equator, and its angular velocity with the earth,
The rotation speed of the synchronous satellite is the same as that of the earth
Because the radius of the satellite is larger than that of the earth, the linear velocity (v = ω T) is also larger than that of the earth
Geostationary satellite, near earth satellite, angular velocity of a point on the equator, period comparison
Don't use the specific value, just tell me the result and calculation formula,
Radius of the earth R
A point on the equator: angular velocity W = 2 π / 86400
Linear velocity v = wr
Period T = 2 π / W
Near earth satellite: v = sqrt (GM / R)
w＝v/R
T＝2π/w
What is the rotation speed of the earth on the equator
On the equator, the linear velocity of the earth's rotation is 40000 km / D, and the angular velocity is 360 ° / d
In the process of the earth's rotation, the angular velocity of each point on the ground is the same, but the linear velocity is from the pole (0km / D) to the equator (20000km / D)
What is the unit of km / D
Km = km d = day
Km / D is the unit of linear speed, i.e. km / d
However, the equatorial line speed should be 40000 km / D, not 20000 km / D
Supplement:
According to the Encyclopedia:
What is the unit of time
century
Year (y)
Month (m)
Week (W)
Day (d)
Hours (H)
Minutes (min)
Second (s)
Milliseconds (MS)
Microsecond (US)
Nanosecond (NS)
Picosecond (PS)
Femtosecond (FS)
The smallest is one femtosecond, which is the negative 15th power of 10, that is, one millionth of a second
The radius of the earth is about 6400km, and the angular velocity of objects on the earth's equator rotating with the earth,
During the flight performance, if an aircraft makes a uniform circular motion with a radius of 3000m and a linear speed of 150m / s, its cycle is
The angular velocity of the earth is 2 Π / 24 * 60 * 60 = 7.27 * 10 to the - 5th rad / s
The linear velocity of the earth is 2 Π R / 24 * 60 * 60 = 465.421m/s
Linear velocity = angular velocity * r
150 = angular velocity * 3000
Angular velocity = 0.05rad/s
Linear velocity = 2 * Π * r / T
150=2∏*3000/T
The period T is about 125.6637s
For reference only
It is known that the radius of the earth is 6400km, and a person with a mass of M = 60kg stands on the equator and makes a circular motion with the rotation of the earth. The linear velocity and the centripetal force required for him to make a circular motion are calculated. If the rotation speed of the earth is faster and faster, the object on the equator will float up when the angular velocity is ω. The first cosmic velocity is 7.9km/s, according to which the mass of the earth is estimated
Linear velocity v = 2 π R / T = 2 π * 6400000 / (24 * 60 * 60) = 465.42m/s
Centripetal force F = MV ^ 2 / r = 60 * 465.42 ^ 2 / 6400000 = 2n
MW ^ 2R = mg, w = 0.00124rad/s
GMM / R ^ 2 = MV ^ 2 / R: M = 7900 ^ 2 * 6400000 / (6.67 * 10 ^ - 11) = 5.98 * 10 ^ 24kg
RELATED INFORMATIONS
- 1. On the earth, object a near the equator and object B near Beijing make circular motion at a constant speed with the rotation of the earth A. The centripetal forces of object a and object B point to the earth's center B. the linear velocity of object a is less than that of object B. C. the angular velocity of object a is less than that of object B. D. the centripetal acceleration of object a is greater than that of object B
- 2. When a particle moves in a circle and its normal acceleration a and tangential acceleration B are equal, the relationship between its angular acceleration a and angular velocity W is () A.w=a^2 B.w=2a^2 C.a=w^2 D.a=2w^2
- 3. What is the difference between average speed and instantaneous speed
- 4. Isn't instantaneous velocity just velocity? Why is instantaneous velocity a vector and velocity a scalar?
- 5. A student's climbing speed is 1 m / s and the downhill speed is 3 / s
- 6. A and B are moving on the same straight line, and their V-T images are shown in a and B respectively A. They move in the same direction. B. they move in the opposite direction. C. they accelerate in the same direction. D. they accelerate in the opposite direction
- 7. How to change physical st to vt
- 8. Speed is an object_____ A physical quantity, which is numerically equal to the position of the object_____ .
- 9. Specific physical meaning
- 10. Is the speed of sound in the air average or instantaneous? Is the speed from Shanghai to Suzhou average or instantaneous?
- 11. Are the centripetal forces of satellites and objects on the Earth provided by gravity? If not, what's the difference
- 12. Like the faucet, the wheel and shaft are fixed together to rotate the machine, called ()
- 13. As shown in the figure, a disk rotates uniformly in the horizontal plane, and the angular velocity is 4rad / s. there is a small object with a mass of 0.10kg on the disk 0.1M away from the center of the disk, which can move with the disk, as shown in the figure. Then the centripetal force of the object in uniform circular motion is as follows______ N. As for the centripetal force of an object, Party A and Party B have different opinions: Party A thinks that the centripetal force is equal to the static friction of the disk against the object, pointing to the center of the circle; Party B thinks that the object has a tendency to move forward, and the direction of static friction is opposite to that of relative motion, that is, backward, rather than perpendicular to the direction of motion, so the centripetal force cannot be static friction. Do you agree______ I'll give you my opinion
- 14. The ratio of the length of the hour hand, minute hand and second hand on an accurate clock is 2:3:3. Try to find the ratio of the angular velocity of the three hands and the linear velocity of the tip of the three hands Speed up. Thank you······
- 15. Find the speed difference and speed ratio of minute hand, second hand and hour hand What does 5.5 mean?
- 16. What is the rotation angular velocity of the stopwatch? If the length of the second hand is 1cm, what is the centripetal acceleration of the end of the second hand
- 17. Physics: does angular velocity have direction?
- 18. A horizontal turntable with a mass of 200g and a radius of 15cm rotates at an angular velocity of 5rad / s. a worm with a mass of 20g falls on the center of the turntable and crawls outward along the radial direction of the vector?
- 19. What is the direction of angular velocity? Why is angular velocity constant in uniform circular motion?
- 20. What is the significance of the direction of angular velocity? Does circular motion have angular velocity?