Physics, 16.12.2020 16:50 roseemariehunter12
The axis of a circular cylinder coincides with the z-axis and it rotates with an angular velocity of (3i−5j +9k) rad/s. Determine i. The tangential velocity at a point P on the cylinder, whose co-ordinates are ( j +5k) metres,
Answers: 2
![\vec v_{P} = -34\,\hat{i} -15\,\hat{j}+3\,\hat{k}\,\,\left[\frac{m}{s} \right]](/tpl/images/0990/1838/e08c4.png)
.
), measured in meters per second, by the following vectorial expression:
(1)
- Angular velocity of the cylinder, measured in radians per second.
- Radius of rotation, measured in meters. ![\vec \omega = 3\,\hat{i}-5\,\hat{j}+9\,\hat{k}\,\left[\frac{rad}{s} \right]](/tpl/images/0990/1838/a9f7a.png)
and ![\vec r_{P} = \hat{j}+5\,\hat{k}\,[m]](/tpl/images/0990/1838/af048.png)
, then the tangential velocity at point P is:
![\vec v_{P} = \left[\left(-5\,\frac{rad}{s} \right)\cdot (5\,m)-(1\,m)\cdot \left(9\,\frac{rad}{s} \right)\right]\,\hat{i}-(5\,m)\cdot \left(3\,\frac{rad}{s}\right)\,j +\left(3\,\frac{rad}{s} \right)\cdot (1\,m)\,\hat{k}](/tpl/images/0990/1838/b476b.png)
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