Physics, 22.11.2019 00:31 khikhi1705
Just after the fan is turned on, the motor gives the blade an angular acceleration α= (20e-0.6t) rad/s2, where t is in seconds. determine the speed of the tip p of one of the blades when t = 3 seconds. how many revolutions has the blade turned in 3 seconds? when t = 0, the blade is at rest.
Answers: 1
![\omega =\dfrac{20}{0.6} [-e^{ - 0.6 t}]_0^t](/tpl/images/0385/3907/916ea.png)
![\omega =33.33[1 -e^{ - 0.6 t}]](/tpl/images/0385/3907/8340f.png)
![\omega =33.33[1 -e^{ - 0.6\times 3}]](/tpl/images/0385/3907/16cdc.png)
![d\theta = 33.33[1 -e^{ - 0.6\times t}]\ dt](/tpl/images/0385/3907/9d3cd.png)
![\int_0^{\theta}d\theta = \int_0^t( 33.33[1 -e^{ - 0.6\times t}])\ dt](/tpl/images/0385/3907/47461.png)
![\theta =33.33\int_0^t[1 -e^{ - 0.6\times t}]\ dt](/tpl/images/0385/3907/a65dd.png)
![\theta =33.33[t + \dfrac{1}{0.6}(e^{ - 0.6\times t} - 1])](/tpl/images/0385/3907/63c6d.png)
![\theta =33.33[3 + \dfrac{1}{0.6}(e^{ - 0.6\times 3} - 1])](/tpl/images/0385/3907/a3f68.png)
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Just after the fan is turned on, the motor gives the blade an angular acceleration α= (20e-0.6t) rad...
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