Acceleration of a Tennis Racket

AI Thread Summary
The discussion focuses on calculating the total acceleration of a tennis racket during a serve, given its mass, angular acceleration, and angular speed. The tangential acceleration is determined using the formula α*r, while centripetal acceleration is calculated with ω²*r. An error was identified in the calculation of centripetal acceleration, specifically the omission of squaring the angular speed. After correcting this mistake, the total acceleration was recalculated. The final result for total acceleration is approximately 16.39 m/sec².
farrah003
Messages
12
Reaction score
0

Homework Statement



During a serve, a tennis racket of mass 1.4 kg is given an angular acceleration of 163 rad/sec2. At the top of the serve, the racket has an angular speed of 16 rad/sec.
If the distance between the top of the racket and the shoulder is 1.5 m, what is the total acceleration of the top of the racket?
atotal = m/sec2 ?

Homework Equations



Tangential acceleration = α*r
Centripetal acceleration = ω²*r

The Attempt at a Solution



a = √[at² + ac²]
a = √[(244.5)² + (24)²]
a = 16.3859
 
Physics news on Phys.org
farrah003 said:

Homework Statement



During a serve, a tennis racket of mass 1.4 kg is given an angular acceleration of 163 rad/sec2. At the top of the serve, the racket has an angular speed of 16 rad/sec.
If the distance between the top of the racket and the shoulder is 1.5 m, what is the total acceleration of the top of the racket?
atotal = m/sec2 ?

Homework Equations



Tangential acceleration = α*r
Centripetal acceleration = ω²*r
good.

The Attempt at a Solution



a = √[at² + ac²]
yes!
a = √[(244.5)² + (24)²]
a = 16.3859
In calculating ac, you forgot to square the angular speed, ω.
 
ohh hahahah thanks !
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »

Similar threads

Calculating Total Acceleration in a Tennis Serve
Replies
5
Views
2K
Average Acceleration Calculation for Ball Bouncing off a Tennis Racket
Replies
16
Views
2K
Solving Tennis Physics: Force & Acceleration
Replies
8
Views
2K
Acceleration Of Tennis Racket (Linear And Rotational Quantites)
Replies
4
Views
7K
Solve Angular Velocity & Acceleration - Dimensional Analysis
Replies
3
Views
2K
Tangential acceleration and centripetal acceleration
Replies
5
Views
2K
What is the net acceleration of the coin on a rotating disk?
Replies
2
Views
2K
Is My Calculation of Centripetal Acceleration and Tangential Velocity Correct?
Replies
12
Views
1K
Acceleration of the cart on a Ferris Wheel (Circular Motion)
Replies
11
Views
2K
Calculus angular acceleration with respect to theta
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top