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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.
How can i find velocity when given force and time?
If you have the mass, you can find the acceleration from Newton's Second Law, a=F/m where a is the acceleration, m is the mass, and F is the force. Then the velocity is given by the standard formula v=vo+at where v is the final velocity, vo the velocity at t=0, probably 0 in your case. If so v=at.
How many revolutions equal pie radians?
One complete revolution is equal to (2\pi) radians. Therefore, to find out how many revolutions equal (\pi) radians, you divide (\pi) by (2\pi), which gives you (\frac{1}{2}). Thus, (\pi) radians is equivalent to half a revolution.
