Engineering Application and Web Tension Information Torque: Example: A force that produces or tends to produce rotation. It is measured by multiplying the amount of force applied by its perpendicular distance from the axis of rotation (lever arm). A cable is wound around a drum of 30.5 cm (12 inch) radius (R) and is supporting a weight (F) of 22.7 kg (50 lbs). What torque is being applied to the drum? Torque (TQ) = Force (F) x Radius (R) Solution: TQ = F x R TQ = F x R = 22.7 kg x .305 m = 6.9 kg-m Typical units of measure for torque are pound-inch, pound-feet, newton-meters, and kilogram-meters. Power: or TQ = F x R = 50 lb x 12 inches = 600 lb-in HP = Force (lb) x Velocity (fpm) The rate at which work is done or energy is transmitted. Typical units of measure for power are watts or horsepower. One horsepower is equivalent to the amount of work required to lift 33,000 lbs one foot in one minute. 33,000 or 1HP = 745.7 Watts Relating Power to Torque: Torque and speed of rotation are directly related to force and velocity in the following equations by radius. Therefore, the horsepower formula can be expressed as follows: TQ = F x R F = TRQ FxV HP = 33,000 HP = Torque (lb-ft) x RPM RPM = V 2πR 5252 x 5252 TQ = HP RPM V = RPM x 2πR Slip Heat: The heat generated when more horsepower is put into a clutch or brake than is taken out. Expressed in slip watts (SW). that substituted slip RPM for RPM and converts 1HP to 746 watts. If horsepower is being transmitted through the unit on a one-to-one basis (or lock-up condition), ignore slip heat calculations. Slip heat must be calculated for each application. The curves in the catalog showing heat dissipation capacity of the individual brake or clutch are based upon continuous duty, and no "derating" or "service" factors need be applied. The unit can be applied up to or on the curve for all normal applications. If applied over the curve, life of the unit will be greatly reduced. Magnetic particle units, however, are generally used in a slipping or controlled torque condition, and slip heat becomes a factor in selecting a unit. To determine the slip heat or the "slip watts" the unit must dissipate, use the following formula: Slip Heat = Torque (RPM7in - RPM out) This formula may look unusual, but is the familiar horsepower formula from above, HP = Torque (lb-ft) x RPM 5252 2 Engineering Application and Web Tension Information Heat dissipation of the unit is dependent on the cooling effect of the outer rotating member. This outer member is labeled or can be determined by rotating both shafts. The shaft that turns the fins is the outer rotating member and should normally be driven at the higher RPM.

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