- #1
Bingo1915
- 10
- 0
[SOLVED] Angular Velocity
1.
The angular acceleration is given [tex]\alpha[/tex]=-2w^2 rad/s^2 where [tex]\omega[/tex] is the angular velocity in rad/s. When [tex]\theta[/tex]=30 deg the angular velocity is 10 rad/s. What is the angular velocity when [tex]\theta[/tex]=60deg?
2.
Used [tex]\alpha=d\varpi/d\theta * \varpi[/tex]
3.
[tex]\int-2 d\theta=\int1/\varpi d\varpi[/tex]
after integration I got
[[tex]\(-2)*theta[/tex]]=[[tex]ln\varpi[/tex]]
limits 0-60 for [tex]\theta[/tex] and 10 to [tex]\varpifor \varpi[/tex]
I think I'm missing a step somewhere. The book gives an answer of w=3.51. With my calculations I get w=1.14. Can you advise?
1.
The angular acceleration is given [tex]\alpha[/tex]=-2w^2 rad/s^2 where [tex]\omega[/tex] is the angular velocity in rad/s. When [tex]\theta[/tex]=30 deg the angular velocity is 10 rad/s. What is the angular velocity when [tex]\theta[/tex]=60deg?
2.
Used [tex]\alpha=d\varpi/d\theta * \varpi[/tex]
3.
[tex]\int-2 d\theta=\int1/\varpi d\varpi[/tex]
after integration I got
[[tex]\(-2)*theta[/tex]]=[[tex]ln\varpi[/tex]]
limits 0-60 for [tex]\theta[/tex] and 10 to [tex]\varpifor \varpi[/tex]
I think I'm missing a step somewhere. The book gives an answer of w=3.51. With my calculations I get w=1.14. Can you advise?
Last edited: