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What is the formula for the angular velocity?
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.
What is a use of trigonometry to find the heights of buildings and trees?
Trigonometry is the study of angles ond lengths. If you know one angle and one side length of a right traingle, you can find all the other values. If you know your distance from a tall object, and the angle made by the base of the tall object, your feet, and the top of the object, you can find the height of the object.
What is the angular velocity in radians per second of the second hand of a clock?
The angular velocity of the second hand of a clock is pi/30 radians per second.
Angular displacement symbol which represents it?
theta or θ
What is the angular velocity of a 50kHz sine wave?
Letω = angular speed (we can't do velocity with the given information),f = frequencyω = 2π fω = 2π (50 * 1000 Hz) = 100,000π rad/sec ~= 314,159 rad/spec
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.
What is the angular size of a circular object with 1 inch diameter viewed from 4 yards?
To find the angular size, we need to convert the distance to the object into radians. 4 yards is approximately 12 feet or 144 inches. The angular size can be calculated as the diameter of the object (1 inch) divided by the distance to the object (144 inches), which equals approximately 0.0069 radians.
What is the size of an object located at a distance of 1 km and that has angular size A 2?
To determine the size of the object, we would need to know the angular size in degrees or radians, as well as the distance to the object. Without this information, it is not possible to calculate the size of the object accurately.
How can one determine the angular size of an object in the sky?
To determine the angular size of an object in the sky, you can use trigonometry. Measure the actual size of the object and its distance from you, then use the formula: angular size = actual size / distance. This will give you the object's angular size in degrees.
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
1 inch diameter viewed from 4 yards Find the angular size of a circular object?
To calculate the angular size of a circular object, you can use the formula: [ \text{Angular Size} = 2 \times \arctan\left(\frac{\text{Diameter}/2}{\text{Distance}}\right). ] For a 1-inch diameter object viewed from 4 yards (or 144 inches), the calculation is: [ \text{Angular Size} = 2 \times \arctan\left(\frac{0.5}{144}\right) \approx 0.00694 \text{ radians} \approx 0.398 \text{ degrees}. ] Thus, the angular size of the object is approximately 0.398 degrees.
What happens to the angular velocity of an object as it starts to decrease in size?
The angular velocity of an object typically increases as it decreases in size, due to the conservation of angular momentum. This is because the moment of inertia decreases as the object's size decreases, causing the angular velocity to increase to maintain the same angular momentum.
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.
How do you find out the direction of angular accelaration?
The direction of angular acceleration comes from whether the angular speed of the object is clockwise or counterclockwise and whether it is speeding up or slowing down.The direction of the angular acceleration will be positive if the angular velocity is counterclockwise and the object's rotation is speeding up or if the angular velocity is clockwise and the object's rotation is slowing downThe direction of the angular acceleration will be negative if the angular velocity is clockwise and the object's rotation is speeding up or if the angular velocity is counterclockwise and the object's rotation is slowing downThe angular acceleration will not have a direction if the object's angular velocity is constant
What is the angular size of the object in arcminutes when viewed through a telescope?
Ah, what a fantastic question! When you look at an object through a telescope, the angular size is simply how much of the sky it appears to take up. Imagine holding your thumb up to the sky – how many thumbnail widths could fit around the object? That's the angular size, and it's often measured in arcminutes, which is like the degrees on a compass but smaller to capture more detail. Just take a moment to appreciate the beauty of the universe and the small wonders it holds.
How can one determine the angular diameter of an object in the sky?
To determine the angular diameter of an object in the sky, you can use trigonometry. Measure the actual size of the object and its distance from you, then use the formula: Angular diameter = 2 * arctan (object size / (2 * distance)). This will give you the angle in degrees that the object subtends in the sky.
Can a stationary object have a non zero angular acceleration?
No, a stationary object cannot have a non zero angular acceleration. Angular acceleration is a measure of how an object's angular velocity changes over time, so if an object is not rotating, its angular acceleration is zero.
