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3 years ago

True or false: The quantity represented by theta_0 is a function of time (i.e., is not constant).

Physics

2 answers:

Lapatulllka [165]3 years ago

6 0

It is a measure of an angle

Mumz [18]3 years ago

6 0

It may be constant in some expressions and variable in others.
We don't how you'[re using it.

The same symbol may be used to represent any quantity you want
in any expression you write, as long as you make clear exactly what
it represents.

There's no mystical reason why the Greek letter π must always represent
3.14159... , or why the Greek letter Θ must always represent an angle, or
why the letter 'g' must always represent acceleration due to gravity.

When we see how you've used theta, we can determine whether it's
a constant or a function of time in that expression.

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2 years ago

A disk 7.90 cm in radius rotates at a constant rate of 1 190 rev/min about its central axis. (a) Determine its angular speed. 12

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Answer:

$124.62\ \text{rad/s}$

$3.71\ \text{m/s}$

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r = Radius of disk = 7.9 cm

N = Number of revolution per minute = 1190 rev/minute

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$\omega=N\dfrac{2\pi}{60}\\\Rightarrow \omega=1190\times \dfrac{2\pi}{60}\\\Rightarrow \omega=124.62\ \text{rad/s}$

The angular speed is $124.62\ \text{rad/s}$

r = 2.98 cm

Tangential speed is given by

$v=r\omega\\\Rightarrow v=2.98\times 10^{-2}\times 124.62\\\Rightarrow v=3.71\ \text{m/s}$

Tangential speed at the required point is $3.71\ \text{m/s}$

Radial acceleration is given by

$a=\omega^2r\\\Rightarrow a=124.62^2\times 7.9\times 10^{-2}\\\Rightarrow a=1226.88\approx 1.23\ \text{km/s}^2$

The radial acceleration is $1.23\ \text{km/s}^2$ .

t = Time = 2.06 s

Distance traveled is given by

$d=vt\\\Rightarrow d=\omega rt\\\Rightarrow d=124.62\times 7.9\times 10^{-2}\times 2.06\\\Rightarrow d=20.28\ \text{m}$

The total distance a point on the rim moves in the required time is $20.28\ \text{m}$ .

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Read 2 more answers