(1)A \"swing\" ride at a carnival consists of chairs that are swung in a circle
ID: 2277481 • Letter: #
Question
(1)A "swing" ride at a carnival consists of chairs that are swung in a circle by 12.0 m cables attached to a vertical rotating pole, as the drawing shows. (? = 69.0 (1)A "swing" ride at a carnival consists of chairs that are swung in a circle by 12.0 m cables attached to a vertical rotating pole, as the drawing shows. (? = 69.0 A "swing" ride at a carnival consists of chairs that are swung in a circle by 12.0 m cables attached to a vertical rotating pole, as the drawing shows. (? = 69.0degree) Suppose the total mass of a chair and its occupant is 204 kg. A centrifuge is a device in which a small container of material is rotated at a high speed on a circular path. Such a device is used in medical laboratories, for instance, to cause the more dense red blood cells to settle through the less dense blood serum and collect at the bottom of the container. Suppose the centripetal acceleration of the sample is 6.85 103 times as large as the acceleration due to gravity. How many revolutions per minute is the sample making, if it is located at a radius of 4.30 cm from the axis of rotation?Explanation / Answer
(a) Determine the tension in the cable attached to the chair.mg = 204 x 9.8 = 1999.2 N
1999.2/sin(69) = 2141 N
(b) Find the speed of the chair.
g/tan(69) = centripetal acc
9.8/tan(69) = 3.76 m/s^2
radius = 12cos(69) =4.30 m
3.76 x 4.30= v^2 =16.168, sq-root = v = 4.020 m/s
2.
the acceleration is 6.85E3 times larger than gravity so...(6850*9.81) is the acceleration centripetal
equation:
a = V^2/r
centripetal acc. = tangential velocity/radius...remember your unit conversions.
solving for V gives you your tangential velocity, which is to say, the speed at which the thingy is moving at the end of the container.
another equation:
V = w*r
tangential velocity = angular velocity*radius
angular velocity gives you a value in which you can convert into rev/min
solve for w. note that if you are using meters, w is in radians/s
Now that you have w...
2*pi radians is one rotation.
60 seconds is one minute.
the value you get now is...
w/[60*(2*pi)]
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