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 (Ī) to linear speed (v), you can use the formula v = rĪ, 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 Ī * diameter = Ī * 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.
Linear momentum is the product of an object's mass and velocity in a straight line, measuring how difficult it is to stop the object's motion. Angular momentum, on the other hand, is the product of an object's moment of inertia and angular velocity, measuring how difficult it is to stop the object's rotational motion around an axis.
Linear kinematics refers to the motion of an object along a straight line, where variables like position, velocity, and acceleration are in one dimension. Angular kinematics, on the other hand, deals with the motion of an object in a circular path, where variables like angular displacement, angular velocity, and angular acceleration are used to describe the motion in a rotational system.
Angular velocity is the rate of change of an object's angular position with respect to time, while linear velocity is the rate of change of an object's linear position with respect to time. The relationship between angular velocity and linear velocity depends on the distance of the object from the axis of rotation. For an object rotating around a fixed axis, the linear velocity is equal to the angular velocity multiplied by the radius of the rotation.
Linear velocity is directly proportional to the radius at which the object is moving and the angular velocity of the object. The equation that represents this relationship is v = rĪ, where v is the linear velocity, r is the radius, and Ī is the angular velocity. As the angular velocity increases, the linear velocity also increases, given the same radius.
Linear speed is directly proportional to the radius of rotation and the angular velocity. The equation that relates linear speed (v), angular velocity (Ī), and radius (r) is v = rĪ. This means that the linear speed increases as either the angular velocity or the radius of rotation increases.
Linear velocity is directly proportional to the radius of the rotating object and the angular velocity. This relationship is described by the equation v = Ī * r, where v is the linear velocity, Ī is the angular velocity, and r is the radius.
No, linear motion does not inherently have angular momentum. Angular momentum is a property associated with rotational motion around an axis. In linear motion, the object's momentum is described solely by its mass and velocity.
The angle between the linear velocity and angular velocity of a particle moving in a circle is typically 90 degrees. This means that they are perpendicular to each other.
Angular velocity is a measure of how fast an object is rotating around a specific axis, usually measured in radians per second. Angular momentum, on the other hand, is a measure of how difficult it is to stop an object's rotation, calculated as the product of angular velocity and moment of inertia. In simple terms, angular velocity is the speed of rotation, while angular momentum is the rotational equivalent of linear momentum.
There are several, what is it that you want to calculate? The "natural" units for angular velocity are radians/second. The relationship between linear velocity and angular velocity is especially simple in this case: linear velocity (at the edge) = angular velocity x radius.
linear
To convert linear speed to angular speed, divide the linear speed by the radius of the rotating object. The formula for this relationship is: angular speed (Ī) = linear speed (v) / radius (r). This will give you the angular speed in radians per second.