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A Wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant
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- A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant angular acceleration 0.123 rad/s². After making 2870 revolutions, its angular speed is 136 rad/s. (a) What is the initial angular velocity of the turbine? (b) How much time elapses while the turbine is speeding up? (a) Number i (b) Number i Units Unitsarrow_forwardA wind turbine is rotating counterclockwise at 0.78 rev/s and slows to a stop in 21 s. Its blades are 27 m in length. (a) What is the angular acceleration of the turbine (in rad/s)? (Indicate the direction with the sign of your answer.) |rad/s2 (b) What is the centripetal acceleration (in m/s2) of the tip of the blades at t = 0? (Enter the magnitude. Round your answer to at least two decimal places.) m/s? (c) What is the magnitude (in m/s) of the total linear acceleration of the tip of the blades at t = 0? (Round your answer to at least two decimal places.) m/s2 What is the angle that this total linear acceleration vector makes with the centripetal acceleration vector? (Enter the magnitude of the smallest such angle in degrees.)arrow_forwardA wheel rotating at 17.55 rad/s undergoes an angular acceleration of 12.70 rad/s^2. Through what angle has the wheel turned when t = 6.48 s? Give your answer in radians.arrow_forward
- A child is riding a merry-go-round, which has an angular speed of 2.15 rad/s and an angular acceleration of 0.85 rad/s2 . The child is standing 3.465 m from the center of the merry-go-round. What is the magnitude of the acceleration of the child? A child is riding a merry-go-round, which has an angular speed of 2.15 rad/s and an angular acceleration of 0.85 rad/s2 . The child is standing 3.465 m from the center of the merry-go-round. What is the magnitude of the acceleration of the child? 7.04 m/s2 8.05 m/s2 9.62 m/s2 18.05 m/s2 16.29 m/s2 Next QuestionNextarrow_forwardA figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65 s. What was her average angular velocity in radians/second? A 720rad/s B 19.3rad/s C 4? rad/s D 9.67 rad/s E 1107 rad/sarrow_forwardA child is riding a merry-go-round, which has an angular speed of 2.15 rad/s and an angular acceleration of 0.85 rad/s2 . The child is standing 3.465 m from the center of the merry-go-round. What is the magnitude of the acceleration of the child?arrow_forward
- A disk, initially rotating at 106 rad/s, is slowed down with a constant angular acceleration of magnitude 2.35 rad/s2. (a) How much time does the disk take to stop? (b) Through what angle (rad) does the disk rotate during that time?arrow_forwardThe angular speed of a rotating platform changes from ω0 = 2.6 rad/s to ω = 8.8 rad/s at a constant rate as the platform moves through an angle Δθ = 4.5 radians. The platform has a radius of R = 44 cm. Calculate the angular acceleration of the platform α in rad/s2.arrow_forwardA wheel rotates with a constant angular acceleration of 3.50 rad/s^2. If the angular speed of the wheel is 2.00 rad/s at ti = 0, a) through what angle does the wheel rotate in 2.00 s?b) What is the angular speed at t = 2.00s?Answer: a) 630 degrees b) 9.00 rad/sarrow_forward
- An optical disk drive in your computer can spin a disk up to 10,000 rpm (about 1045 rad/s1045 rad/s). If a particular disk is spun at 734.1 rad/s734.1 rad/s while it is being read, and then is allowed to come to rest over 0.368 seconds0.368 seconds, what is the magnitude of the average angular acceleration of the disk? If the disk is 0.12 m0.12 m in diameter, what is the magnitude of the tangential acceleration of a point 1/71/7 of the way out from the center of the disk?arrow_forwardA rotating wheel requires 4.66 s to rotate through 45.9 rev. It’s angular speed at the end of the 4.66s interval is 66.2 rad/s. What is its constant angular acceleration? Assume the angular acceleration has the same sign as the angular velocity. Answer in units of rad/s^2.arrow_forwardA wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant angular acceleration 0.168 rad/s2. After making 2870 revolutions, its angular speed is 146 rad/s. (a) What is the initial angular velocity of the turbine? (b) How much time elapses while the turbine is speeding up?arrow_forward
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