Respuesta :
Answer:
Explanation:
Given
angular speed [tex]N=8 rev/s[/tex]
[tex]\omega =2\pi N[/tex]
[tex]\omega =2\pi \cdot 8=16\pi rad/s[/tex]
length of sling [tex]L_1=0.6 m[/tex]
For sling length [tex]L_2=0.9 m[/tex]
[tex]N_2=6 rev/s[/tex]
[tex]\omega _2=2\pi N_2=12\pi rad/s[/tex]
Linear speed for first case [tex]v_1=\omega _1\cdot L_1[/tex]
[tex]v_1=30.16 m/s[/tex]
Linear speed for Second case [tex]v_2=\omega _2\cdot L_2[/tex]
[tex]v_2=12\pi \cdot 0.9=33.93 m/s[/tex]
thus case 2 gives greater linear speed
Answer:
in second case the linear speed is more.
Explanation:
Case I
r = 0.6 m
f = 8 rev/s
ω = 2 π f
v = r x ω
v = r x 2 x π x f
v = 0.6 x 2 x 3.14 x 8
v = 30.144 m/s
Case II
r = 0.9 m
f = 6 rev/s
v = r x ω
v = r x 2 x 3.14 x f
v = 0.9 x 2 x 3.14 x 6
v = 33.9 m/s
