Wind turbines designed for offshore installations are much larger than ones designed for use on land. One company makes a turbine for use on land with blades 40 m long that spin at 17 rpm, and a turbine for use offshore with blades that are twice as long. At what rate should the blades of the offshore turbine rotate if the speed at the tip is to be the same as that of the turbine on land?
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
College Physics: A Strategic Approach Technology Update Plus Mastering Physics with eText -- Access Card Package (3rd Edition)
Additional Science Textbook Solutions
Conceptual Physical Science (6th Edition)
College Physics (10th Edition)
Essential University Physics: Volume 1 (3rd Edition)
University Physics Volume 1
Tutorials in Introductory Physics
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
- Suppose a piece of dust has fallen on a CD. If the spin rate of the CD is 500 rpm, and the piece of dust is 4.3 cm from the center, what is the total distance traveled by the dust in 3 minutes? (Ignore accelerations due to getting the CD rotating.)arrow_forwardWhy is the following situation impossible? A mischievous child goes to an amusement park with his family. On one ride, after a severe scolding from his mother, he slips out of his seat and climbs to the top of the rides structure, which is shaped like a cone with its axis vertical and its sloped sides making an angle of = 20.0 with the horizontal as shown in Figure P6.32. This part of the structure rotates about the vertical central axis when the ride operates. The child sits on the sloped surface at a point d = 5.32 m down the sloped side from the center of the cone and pouts. The coefficient of static friction between the boy and the cone is 0.700. The ride operator does not notice that the child has slipped away from his seat and so continues to operate the ride. As a result, the sitting, pouting boy rotates in a circular path at a speed of 3.75 m/s. Figure P6.32arrow_forwardAn ultracentrifuge accelerates from to 100,000 rpm in 2.00 min. (a) What is the average angular acceleration in rad/s2 ? (b) What is the tangential acceleration of a point 9.50 cm from the axis of rotation? (c) What is the centripetal acceleration in m/s2 and multiples of g of this point at full rpm? (d) What is the total distance travelled by a point 9.5 cm from the axis of totation of the ultracentrifuge?arrow_forward
- The motion of spinning a hula hoop around one's hips can bemodeled as a hoop rotating around an axis not through the center, but offset from the center by an amount h, where h is lessthan R, the radius of the hoop. Suppose Maria spins a hula hoopwith a mass of 0.75 kg and a radius of 0.62 m around her waist.The rotation axis is perpendicular to the plane of the hoop, butapproximately 0.40 m from the center of the hoop. a. What isthe rotational inertia of the hoop in this case? b. If the hula hoopis rotating with an angular speed of 13.7 rad/s, what is its rotational kinetic energy?arrow_forwardThe tub of a washer goes into its spin cycle, starting from rest and gaining angular speed steadily for 8.00 s, at which time it is turning at 5.00 rev/s. At this point, the person doing the laundry opens the lid, and a safety switch turns off the washer. The tub smoothly slows to rest in 12.0 s. Through how many revolutions does the tub turn while it is in motion?arrow_forwardA point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of 0.700 m/s in 1.75 s. At t = 1.25 s, find the magnitude and direction of (a) the radial acceleration, (b) the tangential acceleration, and (c) the total acceleration of the point.arrow_forward
- An air puck of mass m1 = 0.25 kg is tied to a siring and allowed to revolve in a circle of radius R = 1.0 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of m2 = 1.0 kg is tied to it (Fig. P7.27). The suspended mass remains in equilibrium while the puck on the tabletop revolves, (a) What is the tension in the string? (b) What is the horizontal force acting on the puck? (c) What is the speed of the puck? Figure P7.27arrow_forwardThe tips of the blades of the Chinook helicopter lie on a circle of diameter of 18.29 meters. What is the airspeed v of the tip of the blades when they are rotating at 225 rpm? Express your answer in meters per second to three significant figures. Consider the part of a blade that is 4.00 meters from the central hub. What is the velocity v of this part when the blades are rotating at 225 rpm? Express your answer in meters per second to two significant digits.arrow_forwardA circular space station with a radius of 72 m has just been completed. In order to provide astronauts with the feeling of gravity, the space station will be set spinning about its central axis. To do this, solid fuel rockets have been attached around the perimeter of this station to start it spinning. These rockets fizzle out quickly, and produce a non-uniform angular acceleration of =a0e−bt Where a0 = 0.0424 rad/s2 and b = 0.153 s-1. The station is at rest (is not spinning) when the rockets are ignited at t = 0 s. What is the tangential speed of the outer edge of the station about the center of the station at t = 6.27 s? Through what angle has the station rotated in that time? Once the rockets are done burning, how long does it take the station to complete one revolution?arrow_forward
- The rotational effect of a force on a body about an axis of rotation is described in terms of: A) Centre of gravity B) Centripetal force C) Centrifugal force D) Moment of forcearrow_forwardThe diameters of the main rotor and tail rotor of a single-engine helicopter are 7.61 m and 1.04 m, respectively. The respective rotational speeds are 456 rev/min and 4,150 rev/min. Calculate the speeds of the tips of both rotors. main rotor = m/s tail rotor = m/s Compare these speeds with the speed of sound, 343 m/s. vmain rotor = vsound vtail rotor = vsoundarrow_forwardThe hammer throw was one of the earliest Olympic events. In this event, a heavy ball attached to a chain is swung several times in a circular path until it is released. The winning athlete is the one who throws the ball the greatest distance. The last complete rotation of 2016 Olympic champion Anita Włodarczyk’s final turn took only 0.43 s. The radius of the ball’s path, including her extended arms, was 2.1 m.a. What was the frequency of this rotation?b. What was the speed of the ball?c. What was the ball’s acceleration, in units of g?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning