# Acceleration of a Tennis Racket

#### farrah003

1. The problem statement, all variables and given/known data

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 ?

2. Relevant equations

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

3. The attempt at a solution

a = √[at² + ac²]
a = √[(244.5)² + (24)²]
a = 16.3859

#### PhanthomJay

Homework Helper
Gold Member
1. The problem statement, all variables and given/known data

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 ?

2. Relevant equations

Tangential acceleration = α*r
Centripetal acceleration = ω²*r
good.
3. 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.

#### farrah003

ohh hahahah thanks !!!!

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