Determine the magnitude of its maximumradial acceleration

Click For Summary
SUMMARY

The discussion focuses on calculating the maximum radial acceleration of a 0.821 kg discus thrown by an athlete rotating it along a circular path with a radius of 1.19 m and a maximum speed of 18.7 m/s. The radial acceleration is determined using the formula aradial = v²/r, where v is the velocity and r is the radius. Substituting the given values, the maximum radial acceleration is calculated to be approximately 284.5 m/s². The total acceleration can be computed using the equation atotal = sqrt(a² radial + a² tangential), but in this case, only the radial component is necessary for the solution.

PREREQUISITES
  • Understanding of circular motion dynamics
  • Familiarity with the concepts of radial and tangential acceleration
  • Knowledge of basic physics equations related to motion
  • Ability to perform calculations involving square roots and basic algebra
NEXT STEPS
  • Study the effects of mass on radial acceleration in circular motion
  • Learn about the relationship between tangential acceleration and angular velocity
  • Explore advanced topics in dynamics, such as centripetal force
  • Investigate real-world applications of circular motion in sports physics
USEFUL FOR

Physics students, sports scientists, and anyone interested in the mechanics of circular motion and its applications in athletic performance.

gap0063
Messages
65
Reaction score
0
1. Before throwing a 0.821 kg discus, an ath-lete rotates it along a circular path of radius1.19 m. The maximum speed of the discus is18.7 m/s.Determine the magnitude of its maximumradial acceleration.Answer in units of m/s2



Homework Equations


atotal = sq rt (a2 radial + a2 tangential) where aradial = −v2/r and atangential = d|v|/dt


The Attempt at a Solution


I tried using the equation above but I don't think I have enough info or I don't know where the info goes
 
Physics news on Phys.org
gap0063 said:

Homework Equations


atotal = sq rt (a2 radial + a2 tangential) where aradial = −v2/r and atangential = d|v|/dt

So you have aradial=v2/r

v= velocity and r= radius, both of which you are given.
 

Similar threads

Town clock seconds hand speed and centripetal acceleration
  • · Replies 1 ·
Replies
1
Views
4K
Acceleration on an inclined plane
  • · Replies 3 ·
Replies
3
Views
2K
How do you find the magnitude of acceleration?
  • · Replies 24 ·
Replies
24
Views
4K
with this tension problem -- Mass on an accelerating cable
  • · Replies 3 ·
Replies
3
Views
2K
Calculating the weight when faced with multiple accelerations
  • · Replies 20 ·
Replies
20
Views
2K
Ball in Vertical Circle on End of String, Tangential and Radial Acceleration
  • · Replies 2 ·
Replies
2
Views
7K
For a Pendulum: Knowing Acceleration Find Maximum Angle
  • · Replies 26 ·
Replies
26
Views
4K
What is the net acceleration of the coin on a rotating disk?
  • · Replies 2 ·
Replies
2
Views
2K
Magnitude of the resultant acceleration
  • · Replies 9 ·
Replies
9
Views
10K
Question on finding maximum magnitude of acceleration
  • · Replies 12 ·
Replies
12
Views
3K