College Physics
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A gyroscope slows from an initial rate of 34.4 rad/s at an
1) How long does it take to come to rest in seconds and how many revolutions does it make before stopping?
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- 1. The blades of a fan running at low speed turn at 300 rpm. When the fan is switched to high speed, the rotation rate increases uniformly to 430 rpm in 5.30 s. What is the magnitude of the angular acceleration of the blades? rad/s2 f60 ssi f60 0 ssro0arrow_forwardA dentist's drill starts from rest. After 3.40 s of constant angular acceleration it turns at a rate of 2.30 x 10 rev/min. (a) Find the drill's angular acceleration. rad/s2 (b) Determine the angle (in radians) through which the drill rotates during this period. radarrow_forward(a) What is the magnitude of the tangential acceleration of a bug on the rim of a 12.5-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 77.0 rev/min in 3.30 s? m/s² (b) When the disk is at its final speed, what is the magnitude of the tangential velocity of the bug? m/s (c) One second after the bug starts from rest, what is the magnitude of its tangential acceleration? m/s² (d) One second after the bug starts from rest, what is the magnitude of its centripetal acceleration? m/s² (e) One second after the bug starts from rest, what is its total acceleration? (Take the positive direction to be in the direction of motion.) magnitude m/s² direction ° from the radially inward directionarrow_forward
- A rock tied to the end of string swings at a constant angular rate. If you are told that the string can support a total of 85 N of force before breaking, what is the maximum angular velocity the rock can rotate if the rock has a mass of 0.16 kg, and the length of the string is 0.5 m? Give your answer in units of radian per secondarrow_forwardA turntable rotates with a constant 2.25 rad/s² angular acceleration. After 4.50 s it has rotated through an angle of 30.0 rad. What was the angular velocity of the wheel at the beginning of this interval?arrow_forward2. A wheel of radius 20 cm is initially rotating at 12 rpm. It then speeds up at a constant rate, reaching a speed of 35 rpm after 3.1 seconds. a) What is the angular acceleration of the disk? b) How much does it rotate (in radians) while it is accelerating from 12 to 35 rpm?" c) What is total acceleration (in m/s?) of a point on the edge of the disk at the moment it has just started accelerating?|arrow_forward
- A dentist's drill starts from rest. After 3.50 s of constant angular acceleration it turns at a rate of 2.30 x 104 rev/min. (a) Find the drill's angular acceleration. rad/s2 (b) Determine the angle (in radians) through which the drill rotates during this period. radarrow_forward2. A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.35 × 104 rad/s to an angular speed of 3.65 × 10¹ rad/s. In the process, the bit turns through 1.92 × 10¹ rad. Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 7.70 × rad/s, starting from rest? S ssfot €60 s OSISS ƒ60 3arrow_forwardA merry-go-round rotates from rest with an angular acceleration of 1.88 rad/s?. How long does it take to rotate through (a) the first 3.24 rev and (b) the next 3.24 rev? (a) Number i Units (b) Number i Unitsarrow_forward
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