A model airplane with mass 0.750 kg is tethered to the ground by a wire so that it flies in a horizontal circle 30.0 m in radius. The airplane engine provides a net thrust of 0.800 N perpendicular to the tethering wire. (a) Find the torque the net thrust produces about the center of the circle. (b) Find the angular acceleration of the airplane. (c) Find the translational acceleration of the airplane tangent to its flight path.
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A model airplane with mass 0.750 kg is tethered to the ground by a wire so that it flies in a horizontal circle 30.0 m in radius. The airplane engine provides a net thrust of 0.800 N perpendicular to the tethering wire. (a) Find the torque the net thrust produces about the center of the circle. (b) Find the
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- A 250 g , 25-cm diameter plastic disk is spun on an axle through its center by an electric motor. What torque must the motor supply to take the disk from 0 to 1900 rpm in 4.7 s ? Express your answer in newton-meters.A model airplane with a mass of 0.749 kg is tethered by a wire so that it flies in a circle 29.9 m in radius. The airplane engine provides a net thrust of 0.796 N perpendicular to the tethering wire. (a) Find the torque the net thrust produces about the center of the circle. _____N · m (b) Find the angular acceleration of the airplane when it is in level flight. _____rad/s2 (c) Find the linear acceleration of the airplane tangent to its flight path. _____m/s2A circular-shaped object of mass 9 kg has an inner radius of 7 cm and an outer radius of 28 cm. Three forces (acting perpendicular to the axis of rotation) of magnitudes 13 N, 22 N, and 13 N act on the object, as shown. The force of magnitude 22 N acts 33◦ below the horizontal. Find the magnitude of the net torque (units Nm) on the wheel about the axle through the center of the object.
- (a) A 19.0 kg child is riding a playground merry-go-round that is rotating at 35.0 rev/min. What centripetal force (in N) must she exert to stay on if she is 2.50 m from its center? (Enter a number.) N (b) What centripetal force (in N) does she need to stay on an amusement park merry-go-round that rotates at 3.00 rev/min if she is 7.00 m from its center? (Enter a number.) N (c) Compare each force with her weight. (For each answer, enter a number.) (force from (a))/(weight) (force from (b))/(weight) =What is the rotational inertia of top 8 meters of a sphere with a radius of 14 meters and a constant density of 64 kg per cubic meter about a vertical axis through the center of the object. This object is like a hemisphere but even more of the bottom is removed. Please answer in kg m².A coin rests 15.8 cm from the center of a turntable. The coefficient of static friction between the coin and turntable surface is 0.350. The turntable starts from rest at t = 0 and rotates with a constant angular acceleration of 0.622 rad/s2. (a) Once the turntable starts to rotate, what force causes the centripetal acceleration when the coin is stationary relative to the turntable? Under what condition does the coin begin to move relative to the turntable? the static friction causes the cenripetal acceleration (b) After what period of time will the coin start to slip on the turntable? 6.55
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