**The Ice Cream Cone Model**The ice cream cone depicted can be analyzed through two geometric approximations:- **Scoop on Top**: This can be modeled as a uniform solid sphere with a mass \( M_1 = 0.027 \, \text{kg} \) and a radius \( R_1 = 0.03 \, \text{m} \).- **Waffle Cone Base**: This is approximated as a cylinder, with a mass \( M_2 = 0.038 \, \text{kg} \) and a radius \( R_2 = 0.01 \, \text{m} \). The cylinder is uniform and solid, assuming it is filled with ice cream.**Diagram Explanation**- The illustration shows a blue ice cream scoop on top of a waffle cone.- Arrows indicate rotational movement around the axis of both the sphere and the cylinder.- The labels \( M_1 \) and \( M_2 \) denote the masses of the sphere and cylinder, respectively.- Lines indicate the radii \( R_1 \) of the sphere and \( R_2 \) of the cylinder. **Problem Statement:**Your friend Bob proposes that you can do this calculation more easily. He condenses the entire ice cream cone into a point mass located at its center of mass, then uses the point mass formula \(I = mr^2\).**Question:**What would be the distance "r" that he would use, and the rotational inertia that would result from his calculation?- \(r = \_\_\_\_\) m ✖️- \(I = \_\_\_\_\) kg·m² ✖️Is Bob's method correct?- No; you need to use the object's exact shape in your "I" calculations ✔️

Answered: Image /qna-images/answer/1b7bcd32-acfe-4fcc-92e5-260c5c1a2dc7.jpg

b.) Your friend Bob proposes that you can do this calculation more easily. He condenses the entire ice cream cone into a point mass located at the its center of mass, then uses the point mass formula (I=mr2). What would be the distance "r" that he would use, and the rotational inertia that would result from his calculation? r = X m I = X kg-m2 Is Bob's method correct? no; you need to use the object's exact shape in your "I" calculations

b.) Your friend Bob proposes that you can do this calculation more easily. He condenses the entire ice cream cone into a point mass located at the its center of mass, then uses the point mass formula (I=mr2). What would be the distance "r" that he would use, and the rotational inertia that would result from his calculation? r = X m I = X kg-m2 Is Bob's method correct? no; you need to use the object's exact shape in your "I" calculations

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter14: Fluid Mechanics

Section: Chapter Questions

Problem 36AP: Review. Assume a certain liquid, with density 1 230 kg/m3, exerts no friction force on spherical...

See similar textbooks

Similar questions

Two children are playing on stools at a restaurant counter. Their feet do not reach the footrests, and the tops of the stools are free to rotate without friction on pedestals fixed to the floor. One of the children catches a tossed ball, in a process described by the equation (0.730kgm2)(240jrad/s)+(0.120kg)(0.350im)(4.30km/s)=[0.730kgm2+(0.120kg)(0.350m)2] (a) Solve the equation for the unknown . (b) Complete the statement of the problem to which this equation applies. Your statement must include the given numerical information and specification of the unknown to be determined. (c) Could the equation equally well describe the other child throwing the ball? Explain your answer.
(a) What is the angular momentum of the Moon in its orbit around Earth? (b) How does this angular momentum compare with the angular momentum of the Moon on its axis? Remember that the Moon keeps one side toward Earth at all times. (c) Discuss whether the values found in parts (a) and (b) seem consistent with the fact that tidal effects with Earth have caused the Moon to rotate with one side always facing Earth.
Number 4 needs answered
An ice skater begins a spin in the middle of a large rink but then starts to spin faster by pulling her arms in. Which of the following statements is true? A. Both kinetic energy and angular momentum are conserved. B. Impossible to determine C. Kinetic energy increases: angular momentum is conserved. D. Kinetic energy is conserved, angular momentum increases. E. Both kinetic energy and angular momentum increase
Velocity Task Introduction: The pedal of a bicycle is attached to a crank arm that revolves when the pedal is pushed by a person's foot. As the crank arm turns, it pulls a chain that is attached to the rear wheel of the bicycle, causing the bicycle to move forward. C 1 18 cm 16 cm A particular bicycle has wheels that are 66 cm in diameter. The radius of the crank arm is 18 cm. At its lowest point, the pedal is 16 cm'above the ground. A person is pedaling the bicycle such that the crank arm rotates once every second. Questions: 1. Write an equation that models the vertical position of the foot with respect to the ground, starting from the lowest point, as the crank arm turns. 2. What is the rate of change of the vertical position of the foot when it is at the midline? Explain your answer 3. How fast, in kilometres per hour, is the bicycle moving? 4. Determine an equation that would model the foot's position when the cyclist is traveling 5 km/h. Compare this equation to your equation…
2. A solid cylinder (mass 1.2kg, radius 5.0cm) on a horizontal table is connected to a block (mass 200 gram via a pulley (mass 0.80kg, radius 10.0cm) via a light, rigid string. a) Draw free body diagram for each of the object b) List the dynamic and kinematic equations that related to all three objects. c) Find the acceleration of the falling block d) Find the angular acceleration of the cylinder and the friction force on it. cylinder Pulley block
Formation of a Neutron Star A star rotates with a period of 33 days about an axis through its center. The period is the time interval required for a point on the star's equator to make one complete revolution around the axis of rotation. After the star undergoes a supernova explosion, the stellar core, which had a radius of 2.0 x 10 km, collapses into a neutron star of radius 6.3 km. Determine the period of rotation of the neutron star. SOLUTION Conceptualize The change in the neutron star's motion is similar to that of the skater described earlier in the textbook, but in the reverse direction. As the mass of the star moves doser to the rotation axis, we expect the star to spin ---Select--v. Categorize Let us assume that during the collapse of the stellar core, (1) no external torque acts on it, (2) it remains spherical with the same relative mass distribution, and (3) its mass remains constant. We categorize the star as ---Select-- v system in terms of angular momentum. We do not know…
A pulsar is a rapidly rotating neutron star. The Crab nebula pulsar in the constellation Taurus has a period of 33.510-3s , radius 10.0 km, and mass 2.81030kg . The pulsar’s rotational period will increase over time due to the release of electromagnetic radiation, which doesn’t change its radius but reduces its rotational energy. (a) What is the angular momentum of the pulsar? (b) Suppose the angular velocity decreases at a rate of 1014rad/s2 . What is the torque on the pulsar?
Ganymede is the largest of Jupiters moons. Consider a rocket on the surface of Ganymede, at the point farthest from the planet (Fig. P13.23). Model the rocket as a particle. (a) Does the presence of Ganymede make Jupiter exert a larger, smaller, or same size force on the rocket compared with the force it would exert if Ganymede were not interposed? (b) Determine the escape speed for the rocket from the planetsatellite system. The radius of Ganymede is 2.64 106 m, and its mass is 1.495 1023 kg. The distance between Jupiter and Ganymede is 1.071 109 m, and the mass of Jupiter is 1.90 1027 kg. Ignore the motion of Jupiter and Ganymede as they revolve about their center of mass. Figure P13.23
Gravity is an example of a central force that acts along the line connecting two spherical masses. As a planet orbits its sun, (a) how much torque does the suns gravitational force exert on the planet? (b) What is the change in the planets orbital angular momentum?
A smooth circular hoop with a radius of 0.500 m is placed flat on the floor. A 0.400-kg particle slides around the inside edge of the hoop. The particle is given an initial speed of 8.00 m/s. After one revolution, its speed has dropped to 6.00 m/s because of friction with the floor. (a) Find the energy transformed from mechanical to internal in the particlehoopfloor system as a result of friction in one revolution. (b) What is the total number of revolutions the particle makes before stopping? Assume the friction force remains constant during the entire motion.
A bicycle is turned upside down while its owner repairs a flat tire on the rear wheel. A friend spins the front wheel, of radius 0.381 m, and observes that drops of water fly off tangentially in an upward direction when the drops are at the same level as the center of the wheel. She measures the height reached by drops moving vertically (Fig. P10.74 on page 332). A drop that breaks loose from the tire on one turn rises h = 54.0 cm above the tangent point. A drop that breaks loose on the next turn rises 51.0 cm above the tangent point. The height to which the drops rise decreases because the angular speed of the wheel decreases. From this information, determine the magnitude of the average angular acceleration of the wheel.