A figure skater is trying to work on her axel jump and spins routine before the competition starts. Her moment of inertia is 1.8 kg x m^2 while her arms are extended, and is spinning at 0.5 rev/s. If she launches herself into the air at 9.0 m/s at an angle of 45 degrees with respect to the ice, how many revolutions can she execute while airborne if her moment of inertia in the air is 0.5 kg x m^2?

A figure skater is trying to work on her axel jump and spins routine before the competition starts. Her moment of inertia is 1.8 kg x m^2 while her arms are extended, and is spinning at 0.5 rev/s. If she launches herself into the air at 9.0 m/s at an angle of 45 degrees with respect to the ice, how many revolutions can she execute while airborne if her moment of inertia in the air is 0.5 kg x m^2?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 56P: A student sits on a freely rotating stool holding two dumbbells, each of mass 3.00 kg (Fig. P10.56)....

See similar textbooks

Similar questions

The propeller of an aircraft accelerates from rest with an angular acceleration = 4t + 6, where is in rad/s2 and t isin seconds. What is the angle in radians through which thepropeller rotates from t = 1.00 s to t = 6.00 s?
During a certain time interval, the angular position of a swinging door is described by = 5.00 + 10.0t + 2.00t2, where is in radians and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the door (a) at t = 0 and (b) at t = 3.00 s.
A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through its center of mass. Find the magnitude of therods angular momentum.
A student sits on a freely rotating stool holding two dumbbells, each of mass 3.00 kg (Fig. P10.56). When his arms are extended horizontally (Fig. P10.56a), the dumbbells are 1.00 m from the axis of rotation and the student rotates with an angular speed of 0.750 rad/s. The moment of inertia of the student plus stool is 3.00 kg m2 and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.300 m from the rotation axis (Fig. P10.56b). (a) Find the new angular speed of the student. (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. Figure P10.56
A gymnast does cartwheels along the floor and then launches herself into the air and executes several flips in a tuck while she is airborne. If her moment of inertia when executing the cartwheels is 13.5 kg · m2 and her spin rate is 0.5 rev/s, how many revolutions does she do in the air if her moment of inertia in the tuck is 3.4 kg · m2 and she has 2.0 s to do the flips in the air?
A figure skater has a moment of inertia of 0.45 kg-m2. He is spinning at 315.6 rpm. He extends his arms until he slows down to 68.3 rpm. What is his new moment of inerta (in kg-m2)?
YURI!!! on air. For his final stunt, Yuri is going for a jump with turns and has his arms extended. His moment of inertia is 1.75[kg. m²] while his arms are extended, and he is spinning at 0.65 [rev/s]. If he launches himself into the air and remained there for 1.57[s], how many revolutions can he execute while airborne if his moment of inertia in the air is 0.62 [kg m²]? Select one: O 1.83 [rev] O 1.67[rev] ○ 2.88[rev] ○ 2.62 [rev]
An ice skater is preparing for a jump with turns and has his arms extended. His moment of inertia is 1.8 kg · m2 while his arms are extended, and he is spinning at 0.5 rev/s. If he launches himself into the air at 9.0 m/s at an angle of 45° with respect to the ice, how many revolutions can he execute while airborne if his moment of inertia in the air is 0.5 kg · m2 ?
A potter's wheel, with rotational inertia 12 kg-m², is spinning freely at 40 rpm. The potter drops a lump of clay onto the wheel, where it sticks a distance 1.2 m from the rotational axis. If the subsequent angular speed of the wheel and clay is 32 rpm what is the mass of the clay? 1.4 kg 2.3 kg 1.8 kg O 2.1 kg
A skater starts a spin at 1.5 rps (rotation per second), her initial moment of inertia is 2.6 Kgm². She then changes her position and increases her speed of rotation to 3.5 rps. What is her new moment of inertia? O 2.02 Kgm² 2.22 Kgm² 6.07 Kgm² 1.11 Kgm² O O
The turbine fan blade of a turbojet engine is 1.7 m in diameter and rotates at 300 r/s. How fast is the tip of a blade moving? The linear velocity of the tip of the fan is approximately (Round the final answer to the nearest ten as needed. Round all intermediate values to the nearest thousandth as needed) m/s. Enter your answer in the answer box. 85% AP F9 F10 F11 F12 F6 F7 F8 F2 F3 F4 F5
A skater is spinning at 1 rev/s with her arms outstretched so that her moment of inertia is2.4 kg.m2 . She then pulls her arms to her sides which reduces her moment of Inertia to 1.2 kg.m2. What is her new angular velocity?