2 years ago

Is the number 282.5 the same as 282.50?

Mathematics

2 answers:

tatyana61 [14]2 years ago

4 0

Yes because the zero has no value.

WITCHER [35]2 years ago

3 0

Yes it is because in 282.50 the zero has no value.

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A wheel spins at 300 revolutions per minute. What is the angular velocity of the wheel, in radians per second? Round the answer

Ostrovityanka [42]

well, this is just a matter of simple unit conversion, so let's recall that one revolution on a circle is just one-go-around, radians wise that'll be 2π, and we also know that 1 minute has 60 seconds, let's use those values for our product.

$\cfrac{300~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{2\pi ~rad}{~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{60secs}\implies \cfrac{(300)(2\pi )rad}{60secs}\implies 10\pi ~\frac{rad}{secs}\approx 31.42~\frac{rad}{secs}$