Helicopter blades withstand tremendous stresses. In addition to supporting the weight of the helicopter, they are spun at rapid rates and experience large centripetal accelerations, especially at the tip. The tip of a 4.00 m long helicopter blade that rotates at 5 Hz. (a) What is the linear speed of the tip of the blade? (b) What is the centripetal acceleration at the tip? (c) How many g’s is this?

Helicopter blades withstand tremendous stresses. In addition to supporting the weight of the helicopter, they are spun at rapid rates and experience large centripetal accelerations, especially at the tip. The tip of a 4.00 m long helicopter blade that rotates at 5 Hz. (a) What is the linear speed of the tip of the blade? (b) What is the centripetal acceleration at the tip? (c) How many g’s is this?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section6.2: Circular Motion

Problem 13PP

See similar textbooks

Similar questions

When a fighter pilot makes a very quick turn, he experiences a centripetal acceleration. When this acceleration is greater than about 4 × g the pilot will usually lose consciousness (“black out”). Consider a pilot flying at a speed of 950 m/s who wants to make a very sharp turn. What is the minimum radius of curvature that he can take without blacking out?
Modern wind turbines are larger than they appear, and despite their apparently lazy motion, the speed of the blades tips can be quite high—many times higher than the wind speed. A typical modern turbine has blades 56 m long that spin at 13 rpm. At the tip of a blade, what are (a) the speed and (b) the centripetal acceleration?
Modern roller coasters have vertical loops like the one shown. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. What is the speed of the roller coaster at the top of the loop if the radius of curvature there is 15.0 m and the downward acceleration of the car is 1.50 g?
A flywheel has a radius of 16.0 cm. What is the speed of a point on the edge of the flywheel, in cm/s, if it experiences a centripetal acceleration of 950.0 cm/s2?
A new car is tested on a 280-m-diameter track. If the car speeds up at a steady 1.5 m/s^2 , how long after starting is the magnitude of its centripetal acceleration equal to the tangential acceleration?
A car drives around a curve with radius 400 m at a speed of 32 m/s. The road is banked at 7.0 degree. The mass of the car is 1500 kg. What is the magnitude of the centripetal force in order to make this turn? I am given an answer of 3800N, but not quite sure how to get there. Thanks!
NASA uses large centrifuges to study the effects of large forces on astronauts prior to their going into space. A subject in the 20-G centrifuge, which has a radius of 9.5 m, can have a centripetal acceleration as large as 20.0g, where g equals 9.81 m/s2. What is the tangential speed of the subject?
You're designing a highway so that the maximum centripetal acceleration on a curve is no more than 1.1 m/s2 . What is the minimum curvature radius to accommodate a 100 km/h maximum speed? Express your answer to two significant figures and include the appropriate units.
A runner taking part in the 200-m dash must run around the end of a track that has a circular arc with a radius of curvature of 30.0 m. The runner starts the race at a constant speed. If she completes the 200-m dash in 23.2 s and runs at constant speed throughout the race, what is her centripetal acceleration as she runs the curved portion of the track?
How fast (in rpm) must a centrifuge rotate if a particle 7.5 cm from the axis of rotation is to experience an acceleration of 2.0×105 g's? Express your answer using two significant figures.
The blade of a modern wind turbine is usually around 55 m long (radius = 27.5 m). If the blade rotate at 11.29 revolutions per minute, what is the approximate centripetal acceleration (in meters per second squared) at the edge of the blade?
Yesua takes part in a 400-m dash where he must run around the end of a track that has a circular arc with a radius of curvature of 60.0 m. Yesua starts the race at a constant speed. (a) If he completes the 400-m dash in 47.3 s and maintains constant speed for the entire race, what is his centripetal acceleration as he runs the curved portion of the track? (b) If his acceleration as he runs around the circular end of the track is given by 2.18 m/s2, how long (in seconds) will it take him to complete the 400-m dash? (c) Yesua partakes in another race where the track is circular with a circumference of 250 m, find the time needed for him to make one revolution given that he accelerates at 1.89 m/s2.