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A 2.8kg 40cm diameter disk is spinning at 260 rpm How much friction force must the brake apply to the rim to bring the disk to halt in 2.0s The answer should be in Newtons?
Julieseluj
Torque is equal to friction force (F) * radius (r). Torque is also equal to moment of inertia (I) * Angular acceleration (a). Angular acceleration is equal to rotational velocity * 2Pi/time, which is 2 seconds. So, F = IRa/r, or 45.63 Newtons
Wiki User
∙ 9y ago
To find the friction force, first calculate the initial angular velocity (ω) in rad/s, using the conversion factor 1 rpm = 0.1047 rad/s. Then, use the formula τ = Iα to find the torque (τ) needed to stop the disk, where I is the moment of inertia of the disk and α is the angular acceleration. Finally, since τ = rF (where r is the radius of the disk and F is the friction force), you can find the required friction force F in Newtons.
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Friction is a force. I'll get back to that.Weight, which is usually measured in pounds or ounces or grams (depending on where you live or what you're measuring), has an official (SI) unit of newtons. An object's weight depends on the gravity affecting that object. (You probably know that you weigh less on the Moon than you do on Earth.)Gravity, which is a force, is consequently measured in newtons, just like weight. All forces are measured in newtons.Therefore, friction, which is a force, is measured in newtons.
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What unit measures friction?
Friction is a force. I'll get back to that.Weight, which is usually measured in pounds or ounces or grams (depending on where you live or what you're measuring), has an official (SI) unit of newtons. An object's weight depends on the gravity affecting that object. (You probably know that you weigh less on the Moon than you do on Earth.)Gravity, which is a force, is consequently measured in newtons, just like weight. All forces are measured in newtons.Therefore, friction, which is a force, is measured in newtons.
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An object in motion will stay in motion unless and until acted upon by a force like friction. So absent ALL friction, no the ball will not slow. This is part of the laws of Thermodynamics. However, if there is air friction in play, with a long course of time(of course which depends on the velocity with which the ball is moving), the pressure exerted in opposite direction by the ball, at one fine movement should make the ball stop. If considered in vacuum, then again as per Newtons laws, the ball should not stop as there would be no action by any external agency.
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