Question
Provide a formula that provided (km/s) can produce (rad/s) of an object with radius r.
Provide a formula that provided (km/s) can produce (rad/s) of an object with radius r.
Homework Answers
Answer #1
Answer: 
Explanation: There is a relation between the
linear velocity (
)
and angular velocity (
)
of an object with radius (
).
-----------------------------------------------
(1)
where, ''
is in the unit of m/s, ''
is in the unit of rad/s and ''
is in the unit of meters.
If the velocity,
is in the unit of (km/s) then, using the conversion formula,
(km/s)=(1/1000)*(m/s). So, from eqn 1,
----------------------------------------------
(2)
This is the required equation between (km/s) to (rad/s) of an
object with radius ''
in meter.
Not the answer you're looking for?
Similar Questions
consider an object of mass m moving in a circle of radius r with a constant...
consider an object of mass m moving in a circle of radius r with a
constant speed v. what is a possible formula for the objects
acceleration a (in m/s^2)?
For a spherical celestial object of radius R, the acceleration due to gravity g at a...
For a spherical celestial object of radius R, the
acceleration due to gravity g at a distance x
from the center of the object is g =
g0R2/x2,
where g0 is the acceleration due to gravity at
the object's surface and x > R. For the moon,
take g0 = 1.63 m/s2 and R =
3200 km. If a rock is released from rest at a height of 5R
above the lunar surface, with what speed does the rock impact...
The escape velocity at the surface of Earth is approximately 11 km/s. What is the radius,...
The escape velocity at the surface of Earth is approximately 11
km/s. What is the radius, in units of R (the radius of the Earth),
of a planet with twice the mass of Earth for which the escape speed
is twice that for Earth?
8R
2R
R/4
R/2
R
The escape speed from an object is v2 = 2GM/R, where M is the mass of...
The escape speed from an object is v2 = 2GM/R, where M is the
mass of the object, R is the object's starting radius, and G is the
gravitational constant 6.67 × 10-11 m3 kg-1 s-2. What is the
approximate escape speed, in km/s, from the Solar System starting
from an orbit at 0.6 AU? In this case, the mass of the Sun, 2.2e+30
kg, can be used as the mass of the Solar system.
You are on Earth, approximated as a perfect sphere with radius R = 6371 km. (a)...
You are on Earth, approximated as a perfect sphere with radius R
= 6371 km. (a) Imagine you are standing on North Pole, and draw a
circle centered around you with a radius r. Express the
circumference of the circle in terms of the circle radius r and the
Earth radius R. (b) If you can measure distances with an error of
±1 meter, how large a circle would you have to draw on the Earth’s
surface to convince yourself...
1.) A variable speed electric motor of radius 0.39 m is rotating at 122.1 rad/s. Suddenly,...
1.) A variable speed electric motor of radius 0.39 m is rotating
at 122.1 rad/s. Suddenly, the motor uniformly slows to 91.0 rad/s
as it makes 84 revolutions. What is the angular acceleration (in
rad/s^2) of a point on the motor?
2.) A wheel with a 0.16 m radius is rotating at 17.0 rad/s. It
then slows uniformly to 4.8 rad/s over a 2 s interval. What is the
angular acceleration (in rad/s^2) of a point on the wheel?
3.)...
A small object with mass 4.10 kg moves counterclockwise with constant speed 1.35 rad/s in a...
A small object with mass 4.10 kg moves counterclockwise with
constant speed 1.35 rad/s in a circle of radius 3.05 m centered at
the origin. It starts at the point with position vector
3.05î m. Then it undergoes an angular displacement
of 8.65 rad.
(a) What is its new position vector?
m
(b) In what quadrant is the particle located and what angle does
its position vector make with the positive x-axis?
Second at ??°
(c) What is its velocity?
m/s...
The following questions use the mass and radius of a white dwarf (M=1.0 solar mass, R=6000...
The following questions use the mass and radius of a white dwarf
(M=1.0 solar mass, R=6000 km) and neutron star (M=1.5 solar mass,
R=12 km). 7. Consider an object with a temperature of T=107 K, and
an X-ray luminosity of 1030 Watts. What radius would this object
have? Is this object more likely a white dwarf or a neutron
star?
The angular velocity of a star is .000073 rad/s. If the star had an initial radius...
The angular velocity of a star is .000073 rad/s. If the star had
an initial radius of 2780000000km, and then collapses to a new
radius of 2780000km, then find the new angular velocity for the
star.
A sattelite is rotatin in a circular orbit with radius r = 1000 km aroud earth....
A sattelite is rotatin in a circular orbit with radius r = 1000
km aroud earth. The mass of the sattelite is m = 1000 kg. The mass
of earth is M = 6 x 10^24 kg.
a) What is the velocity of the sattelite?
b) The engine of the sattelite is turned on and it changes its
orbit to a new orbit with radius r = 500 km. How much work (W=?)
should the engine do for this change...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 36 minutes ago
asked 47 minutes ago
asked 48 minutes ago
asked 48 minutes ago
asked 59 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 2 hours ago
asked 2 hours ago
asked 2 hours ago
asked 2 hours ago