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An electric fan is turned off and its angular velocity decreases uniformly from 550 rev min to 200 in rev per min time interval of length 4.50 sec Find the angular acceleration in meters per sec sq?
(550 - 200) rev per minute = -350 rev per minute / 60 sec per minute = (-35/6 rev per second) change in angular velocityAngular acceleration = (change in angular velocity) / (time for the change) =(-35/6 rev per second) x (2 pi radians per rev) / 4.5 seconds = -8.1449 radians per second2("Meters per sec sq" can't be a unit of angularacceleration, since angles can't be measured in meters.)
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.
A wheel 33 cm in diameter accelerates uniformly from 240 rpm to 360 rpm in 6.5 seconds. How far will a poin on the edge of the wheel have traveled in this time?
To find the distance traveled by a point on the edge of the wheel, we first need to calculate the average angular velocity. The wheel accelerates from 240 rpm to 360 rpm, so the average angular velocity is (240 + 360) / 2 = 300 rpm. Converting this to radians per second, we have 300 rpm × (2π rad / 1 min) × (1 min / 60 s) = 31.42 rad/s. The wheel travels for 6.5 seconds, so the total angular displacement is 31.42 rad/s × 6.5 s = 204.23 radians. The circumference of the wheel is π × diameter = π × 0.33 m ≈ 1.04 m. Therefore, the distance traveled is 204.23 radians × 0.33 m/radian ≈ 67.39 m.
If a rotating fan completes 1840 revolutions every minute and the radius is 0.183 m what is the speed of the point?
To find the speed of a point on the edge of a rotating fan, we can use the formula ( v = r \cdot \omega ), where ( r ) is the radius and ( \omega ) is the angular velocity in radians per second. First, convert the revolutions per minute to radians per second: ( \omega = 1840 \times \frac{2\pi \text{ radians}}{1 \text{ revolution}} \times \frac{1 \text{ minute}}{60 \text{ seconds}} \approx 192.5 \text{ rad/s} ). Then, substitute ( r = 0.183 ) m into the formula: ( v \approx 0.183 \cdot 192.5 \approx 35.24 \text{ m/s} ). Thus, the speed of the point is approximately 35.24 m/s.
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.
How do you find the angular velocity of second hand of a watch?
Angular velocity has units of (angle per time), usually stated in radians per second. (1 whole revolution = 2 pi radians) Assuming the watch is operating properly, the second hand turns once per minute. 1 rev/minute = (2 pi) / (60 seconds) = pi/30radians per second. This is usually good enough for most physicists, but if they demand a number, it's easy to work it out: pi = 3.14159 (rounded) Angular velocity = pi/30 = 0.10472 radians per second. Or if you really want the physicist to take notice, tell him "104.72 milliradians per second".
How do you find tangential velocity?
Tangential velocity can be found by multiplying the angular velocity (in radians per second) by the distance from the axis of rotation to the point of interest. It represents the speed at which an object is moving around a circle or rotating about a point.
How can one find the linear velocity from angular velocity?
To find the linear velocity from angular velocity, you can use the formula: linear velocity angular velocity x radius. This formula relates the speed of an object moving in a circle (angular velocity) to its speed in a straight line (linear velocity) based on the radius of the circle.
A wheel is rotating at 250 revolutions per minute find the angular speed in radians per second?
1 revolution = (2 pi) radians1 minute = 60 seconds250 rpm = [ (250) x (2 pi) radians ] per [ 60 seconds ]= 26.18 radians per second (rounded)
Find the angular displacement of 15.2 revolutions round to the nearest tenth?
It is 95.5 radians.
An electric fan is turned off and its angular velocity decreases uniformly from 550 rev min to 200 in rev per min time interval of length 4.50 sec Find the angular acceleration in meters per sec sq?
(550 - 200) rev per minute = -350 rev per minute / 60 sec per minute = (-35/6 rev per second) change in angular velocityAngular acceleration = (change in angular velocity) / (time for the change) =(-35/6 rev per second) x (2 pi radians per rev) / 4.5 seconds = -8.1449 radians per second2("Meters per sec sq" can't be a unit of angularacceleration, since angles can't be measured in meters.)
Find the angular velocity of r equals 8.0?
Assuming that "r" is the radius, that simply isn't sufficient information to calculate angular velocity.
How do you find torque of single phase synchronous motor?
You can use the relation that power equals torque times angular velocity. You start from the speed (rpm) and the horse power times 746 which gives the mechanical power in watts. To use the formula you have to use consistent units, which means torque is in Newton-metres and the angular velocity is in radians/second, in other words the rpm times 2.pi / 60. So the torque in Newton-metres is the power (watts) divided by the shaft speed in radians per second. T = (HP x 746) / (rpm x 2 x pi / 60) So if you know the speed and the power, you can find the torque.
Hoe to calculate velocity of a rotating member?
rotation is normally rpm (revolutions per minute) , velocity of a particular point around an axis, example : distance from axis = 1 m , rpm = 10 000 circumference of 1m circle = 1m*2*pi (3.14159) = 6.28318 (meters) * 10 000 rpm = 62 831.8 meters/min = 1 047.197 meters / sec
How we find the Direction of angular velocity of a rotating wheel?
The direction of angular velocity in a rotating wheel can be found using the right-hand rule. If you curl your fingers in the direction the wheel is rotating, then your thumb points in the direction of the angular velocity vector. This rule helps determine whether the angular velocity is clockwise or counterclockwise relative to the rotation.
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 ball's angular velocity A ball at the end of a string of length 0.75 m rotates at a constant speed in a horizontal circle?
A ball at the end of a 0.75 m string rotating at constant speed in a circle has an angular velocity of (2 pi) divided by (time to complete one revolution). Time to complete one revolution = (speed) divided by (2 times pi times radius). If you write this algebraically and then simplify the fraction, you find that the angular velocity is (4 times pi2 times radius) divided by (speed) = (29.609/speed) radians/sec. The speed is expressed in meters/sec. The solution doesn't depend on the orientation of the plane of the circle.
