1. Convert 47.00 to radians. 47.0° radians 2. Convert 2.35 rad to degrees. 2.35 radians degrees....
2. A grindstone increases in angular speed from 4.00 rad/s to 12.00 rad/s in 4.00 s. Through what angle does it turn during that time interval if the angular acceleration is con- stant? (a) 8.00 rad (b) 12.0 rad (c) 16.0 rad (d) 32.0 rad (e) 64.0 rad
Example 7.1 Whirlybirds Goal Convert an angular speed in revolutions per minute to radians per second. Problem The rotor on a helicopter turns at an angular speed of 3.40 x 102 revolutions per minute. Express the angular speed in radians per second. Strategy During one revolution, the rotor turns through an angle of 27 radians. Use this relationship as a conversion factor. Solution Apply the conversion factors 1 rev = 2r and 60 S = 1 min. = 3.40 x...
A flywheel has angular acceleration az(t) = 8.65 rad/s2 - (2.35 rad/s2 )t , where counterclockwise rotation is positive. If the flywheel is at rest at t = 0, what is its angular velocity at 5.25 s? Express your answer with the appropriate units. Through what angle (in radians) does the flywheel turn in the time interval from t = 0 to 5.25 s? Express your answer with the appropriate units.
The blades of an aeroplane’s engine rotate with an initial speed is 20 rev/min. Assuming constant angular acceleration of magnitude 6 rad/s2: How long does it take for the blades to reach the angular speed ω = 100 rev/min? Through how many radians does a blade turn during the time found in part (i)
is equivalent to how many 1. a) Convert 60° to radian measure. b) An angle degrees? 2. A wheel rotates with a constant angular acceleration of 3.50 rad/s. If the angular speed of the wheel is 2.00 rad/s when the motion started. (a) Through what angle does the wheel rotate in 2.00 s?! (6) What is the angular speed at t = 2.00 s?
1)A dentist's drill starts from rest. After 4.00 s of constant angular acceleration it turns at a rate of 2.00 ✕ 104 rev/min. a)Find the drills angular acceleration ____rad/s^2 b) Determine the angle (in radians) through which the drill rotates during this period____rad 2)The tub of a washer goes into its spin-dry cycle, starting from rest and reaching an angular speed of 5.0 rev/s in 10.0 s. At this point, the person doing the laundry opens the lid, and a...
The angular speed of a propeller on a boat increases with constant acceleration from 12 rad/s to 26 rad/s in 2.4 seconds Through what angle did the propeller turn during this time?
At time t=0 a grinding wheel has an angular velocity of 24.0 rad/s. It has a constant angular acceleration of 35.0 rad/s^2 until a circuit breaker trips at time t= 2.50 s. From then on, the wheel turns through an angle of 440 rad as it coasts to a stop at constant angular deceleration. a.) Through what total angle did the wheel turn between t= 0 and the time it stopped? answer in rad b.) At what time does the...
Chapter 10, Problem 030 GO A gyroscope flywheel of radius 2.35 cm is accelerated from rest at 12.7 rad/s2 until its angular speed is 2790 rev/min. (a) What is the tangential acceleration of a point on the rim of the flywheel during this spin-up process? (b) What is the radial acceleration of this point when the flywheel is spinning at full speed? (c) Through what distance does a point on the rim move during the spin-up?
a. A rotating wheel requires 7.00 s to rotate 25.0 revolutions. Its angular velocity at the end of the 7.00 s interval is 97.0 rad/s. What is the constant angular acceleration of the wheel? b. A machine part rotates at an angular speed of 0.52 rad/s; its speed is then increased to 3.2 rad/s at an angular acceleration of 0.52 rad/s2. Find the angle through which the part rotates before reaching this final speed. c. A dentist's drill starts from...