Calculating the Speed of a Cricket Ball with Drag Force: Homework Problem

  • Thread starter Thread starter bennyq
  • Start date Start date
  • Tags Tags
    Drag
Click For Summary
SUMMARY

The discussion focuses on calculating the speed of a cricket ball as it travels towards the wicket, factoring in drag force. The initial speed of the ball is 151 km/h, and the drag force is modeled by R = kmv², where the drag coefficient is assumed to be 0.3. The participant attempted to solve the problem using the equation R = 0.5DpAv² but struggled with determining the drag coefficient. Ultimately, they calculated the speed at the wicket to be approximately 133 km/h.

PREREQUISITES
  • Understanding of drag force and its mathematical representation
  • Familiarity with exponential decay functions
  • Knowledge of basic physics principles related to motion and forces
  • Ability to manipulate equations involving velocity and distance
NEXT STEPS
  • Research the derivation and application of the drag coefficient in fluid dynamics
  • Learn about the physics of projectile motion and its equations
  • Explore the concept of terminal velocity and its calculation
  • Investigate the effects of air density on object motion
USEFUL FOR

Physics students, sports scientists, and anyone interested in the dynamics of projectile motion and drag forces in sports contexts.

bennyq
Messages
23
Reaction score
0

Homework Statement



At international cricket games, it is commonplace to display on the scoreboard a speed for each bowl. Because the ball is subject to a drag force due to air proportional to the square of its speed given by R = kmv^2, it slows as it travels 20 m toward the wicket according to the formula v = vie^(−kx). Suppose the ball leaves the bowler's hand at 151 km/h. Ignore its vertical acceleration, and determine the speed of the ball when it hits the wicket. (For a cricket ball, assume the mass is 0.16 kg, the radius is 3.5 cm, and the terminal velocity is 40 m/s. The density of air is 1.2 kg/m3.)

Homework Equations



Apart from the equations i have tried R=0.5DpAv^2
but i don't know the drag coefficient!

The Attempt at a Solution


Honestly i don't know where to start, i have tried googling a similar question also.
The problem is I cannot figure out R. If i knew drag coefficient i could work out k, then work out v over the distance
 
Physics news on Phys.org
What is the drag force at the termimal velocity? You can work out "k" using that information.
 
I worked drag force R out with R = -bV and using the above formal for R with a drag coefficient of .3 which i found online. Both gave a similar result. I got 133km/h
 

Similar threads

How do I find the terminal speed of a body in water?
  • · Replies 13 ·
Replies
13
Views
4K
Calculating Launch Speed for a Catapult with Drag Force
  • · Replies 5 ·
Replies
5
Views
1K
Drag force with differential equations, finding max speed
  • · Replies 3 ·
Replies
3
Views
3K
How Does a Cricket Bat Affect the Force on a Ball?
  • · Replies 6 ·
Replies
6
Views
4K
Distance of projectile - only speed given
  • · Replies 4 ·
Replies
4
Views
2K
Drag Force Ratio: Jet vs Transport at 1200 km/h, 15 km Altitude
  • · Replies 6 ·
Replies
6
Views
2K
How do I calculate the work due to air drag when throwing a ball in the air?
  • · Replies 2 ·
Replies
2
Views
2K
Physics Problem with Lifting Force and Drag Coefficient
  • · Replies 2 ·
Replies
2
Views
2K
Calculate Drag Force & Power for Long Cylindrical Antenna
  • · Replies 3 ·
Replies
3
Views
2K
Dimensions of Air Drag Constants and Terminal Speed Equation
  • · Replies 15 ·
Replies
15
Views
2K