Projectile motion and circular motion questions

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Homework Help Overview

The discussion revolves around two physics questions related to projectile motion and circular motion. The first question involves an airplane dropping a suitcase and determining how far it lands from a dog on the ground, while the second question pertains to the linear speed and radial acceleration of a helicopter rotor blade in a wind tunnel.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to calculate time for the suitcase to hit the ground and the initial vertical velocity of the suitcase. There is mention of splitting the airplane's velocity into horizontal and vertical components. For the helicopter rotor, participants consider the distance traveled in one revolution and the concept of centripetal acceleration.

Discussion Status

Some participants have provided hints and guidance on how to approach the problems, particularly regarding the decomposition of velocity and the relationship between linear speed and circular motion. There is acknowledgment of progress made by the original poster in understanding the concepts involved.

Contextual Notes

The original poster expresses uncertainty about initial velocities and how to start the second question, indicating a need for clarification on these concepts. There is a request for hints rather than complete solutions, aligning with the forum's guidelines.

babbagee
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Ok I have two questions which I am stuck on. I just need some hints.

1.)An airplane is flying with a velocity of 90.0 m/s at an angle of 23.0m\s above the horizontal. When the plane is a distance 115 m directly above a dog that is standing on level ground, a suitcase drops out of the luggage compartment.

q.)How far from the dog will the suitcase land? You can ignore air resistance

For this one I think I have to calculate the time it takes for the suitcase to hit the ground. And then I can use d=vt to calculate the distance away from the dog. But i am having a problem with the intial velocity in the y direction. When the suitcase falls off the plane its intial velocity is not zero right. Its inital velocity will be the same as the plane right.

2.)A model of a helicopter rotor has four blades, each of length 3.60 m from the central shaft to the blade tip. The model is rotated in a wind tunnel at a rotational speed of 530rev/min.
q1.)What is the linear speed of the blade tip?
q2.)What is the radial acceleration of the blade tip expressed as a multiple of the acceleration of gravity, g?

Really don't know where to start out on this one, just point me in the right direction.

Thanks
 
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1) Right general idea. Split the velocity of the plane into horizontal and vertical components and you're pretty much set to go.

2) For part 1, think about how far the blade tip has to go to complete one revolution, then how long it takes for it to complete said revolution.

For part 2, would it help if I pointed out that that's the centripetal acceleration?
 
Hey thanks,

For the first question I was using 115 m instead of negative. Thats why i kept getting it wrong.

And for question 2, I didn't think about the circumference until you stated it. And i figured out the acceleration as well.
 
what are the answers to these questions?
 

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