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How do you calculate the angular distance?

The angular distance between two points on a sphere can be calculated using the Haversine formula, which involves the latitude and longitude of the two points. The formula takes into account the Earth's radius and computes the central angle between the points, which can then be converted to angular distance.


The angular diameter of an object is inversely proportional to its distance from the observer?

Yes, that's correct. The angular diameter of an object decreases as its distance from the observer increases. This relationship is based on the formula for angular diameter, which states that the apparent size of an object in the sky depends on both its actual size and its distance from the observer.


What is the formula for angular momentum?

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.


How can one determine velocity from angular velocity?

To determine velocity from angular velocity, you can use the formula v r, where v is the linear velocity, is the angular velocity, and r is the radius of the rotating object. This formula relates the rotational speed of an object (angular velocity) to its linear speed (velocity) at a given distance from the center of rotation.


How can one determine the angular frequency from a graph?

To determine the angular frequency from a graph, you can find the period of the wave by measuring the distance between two consecutive peaks or troughs. Then, you can calculate the angular frequency using the formula: angular frequency 2 / period.


If you triple your distance from an object what happens to its angular size?

If you triple your distance from an object, its angular size will appear smaller. This is because angular size is inversely proportional to distance – as distance increases, angular size decreases.


A dime is 1.8 cm in diameter At what distance from your eye would you have to hold a dime so that it has the same angular dia as a full moon?

The angular diameter of the full moon is about 0.5 degrees. To calculate the distance at which a dime would have the same angular diameter, you can use the formula: tan(angular size) = (diameter of object) / (distance). Plug in the values and solve for distance to find that you would need to hold the dime approximately 68 meters away from your eye.


How can one determine the angular acceleration when provided with the angular velocity?

To determine the angular acceleration when given the angular velocity, you can use the formula: angular acceleration change in angular velocity / change in time. This formula calculates how quickly the angular velocity is changing over a specific period of time.


What is the dimensional formula for angular velocity?

The dimensional formula for angular velocity is T-1, where T represents time.


How is angular momentum expressed in polar coordinates?

Angular momentum in polar coordinates is expressed as the product of the moment of inertia and the angular velocity, multiplied by the radial distance from the axis of rotation. This formula helps describe the rotational motion of an object in a two-dimensional plane.


What is the small-angle formula?

The small angle formula is used for measuring the distance to a far away object when the actual size and angular size are known, or for finding out the actual size of a faraway object when the distance to the object and angular size are known. In arc-seconds: a = 206265 x D/d where a = the angular size of the object in arc-seconds D = the actual linear size of an object in km d = the distance to the object in km 206265 = the number of arc-seconds in a complete circle divided by 2pi In Radians: a = D/d where a = angular size of object in radians


What is the formula to calculate the angular velocity dimension of a rotating object?

The formula to calculate the angular velocity of a rotating object is angular velocity () change in angle () / change in time (t).