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Question Number 188392 by yawa7373 last updated on 28/Feb/23

Commented by Rasheed.Sindhi last updated on 28/Feb/23

$$\mathit{s}\mathit{i}\mathit{r}mrW,pleaseseemythirdanswer$$$$\text{You can't use 'macro parameter character \#' in math mode}$$$$derivative.$$

Commented by mr W last updated on 01/Mar/23

$$veryniceapproachsir!$$

Commented by Rasheed.Sindhi last updated on 01/Mar/23

$$\mathcal{T}han\mathcal{X}a\mathcal{LOT}\mathit{s}\mathit{i}\mathit{r}!$$

Answered by mr W last updated on 28/Feb/23

$$Q1$$$$\left(a\right)$$$$\theta =\frac{\alpha t^2}{2}$$$$\Rightarrow t=\sqrt{\frac{2\theta }{\alpha }}=\sqrt{\frac{2\times 2\pi }{4.5\times {10}^{-3}}}=52.844s$$$$\left(b\right)$$$$\omega =\alpha t=4.5\times {10}^{-3}\times 52.844=0.238rad/s$$$$or13.625°/s$$

Answered by mr W last updated on 28/Feb/23

$$Q2$$$$r=\frac{0.5}{2}=0.25m$$$$\left(a\right)$$$$\omega =60rpm=\frac{60\times 2\pi }{60}=6.28rad/s$$$$\left(b\right)$$$$v=\omega r=6.28\times 0.25=3.41m/s$$

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