linear velocity is a change of speed in a linear fashion. Angular speed is the rate of change of angle with respect to time. These two are convertible in a case of a circle motion. the lenght of an arc is l = RO. where O is the angle. hence v= l/t and therefore v=RA where A = O/t.
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Angular diameter refers to the apparent size of an object in the sky, measured in degrees, arcminutes, or arcseconds. Linear diameter, on the other hand, is the actual physical size of an object, typically measured in units such as meters or kilometers. Angular diameter depends on the object's distance from the observer, while linear diameter is a fixed measurement.
The linear diameter of the sun is roughly 864,000 miles ... about 109 times as big
across as the earth is. In order to cover up a disk that size, you need something
else that's 864,000 miles across.
The angular diameter of anything means how far you have to turn your eyes in order
to go from one end of it to the other end. That depends on how far away you are from
the object. Any object fills more of your vision when it's nearby than it does when it's
far away.
Seen from the earth, the sun is about 1/2 degree wide. Seen from your face, your
thumb is also about 1/2 degree wide when you stretch your arm out in front of you.
If you close one eye and move around a bit, you can cover the sun with your thumb.
Not because both of them have the same linear diameter, but because they have
the same angular diameter.
Angular momentum is a property of a rotating object that describes its tendency to keep rotating. It is calculated as the product of an object's moment of inertia and its angular velocity. Similar to linear momentum, angular momentum is conserved in the absence of external torques.
To convert angular speed (ω) to linear speed (v), you can use the formula v = rω, where r is the radius of the rotating object. This formula shows that the linear speed is equal to the product of the radius and the angular speed.
The formula for angular momentum is L = r x p, where L is the angular momentum, r is the distance vector from the axis of rotation to the point of interest, and p is the linear momentum. This formula describes the rotational motion of an object around a fixed axis.
The circumference of a circle with a diameter of 2 feet is π * diameter = π * 2 = 6.28 feet. So, there are approximately 6.28 linear feet in a 2-foot diameter circle.
A wire with a diameter of 4mm corresponds to a wire gauge of approximately 6 AWG (American Wire Gauge). The relationship between wire diameter and gauge is not linear, so different wire diameters can correspond to the same gauge.