Updated spacing between @ latex expressions

astrosander edited
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revision #10544 parent #9528 GitHub c702ebe ← older newer →
en/2.8.37.md +4 −4
@@ -82,23 +82,23 @@
</p>
<p>
− Thus, the momentum will make an angle with velocity $v$ equal to $\pi-\alpha$
+ Thus, the momentum will make an angle with velocity $v$ equal to $\pi -\alpha$
</p>
<p>
Projecting onto the linear rotation speed of the wheel:
− $$u=v\cos(\frac{\pi}{2}-\alpha)=v\sin\alpha\quad(1)$$
+ $$u=v\cos(\frac{\pi}{2}-\alpha )=v\sin\alpha\quad(1)$$
From the drawing
$$\sin\alpha = \frac{h}{R}$$
Substituting into $(1)$
$$u=v \frac{h}{R}$$
From where we find the linear velocity, given that the wheel is circular
− $$\boxed{\omega=\frac{u}{R}=v \frac{h}{R^2}}$$
+ $$\boxed{\omega =\frac{u}{R}=v \frac{h}{R^2}}$$
</p>
<h4>Answer</h4>
<p>
− $$\omega=\frac{hv}{R^2}$$
+ $$\omega =\frac{hv}{R^2}$$
</p>
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