Physics: Suppose that you are headed toward a plateau 55 meters high. If the angle of elevation to the top of the plateau is 40degrees, how far are you from the base of the plateau?

Suppose that you are headed toward a plateau 55

wolfsaway

19.01.2022

x=65.55m

Explanation:

Let x be the distance to the shore

From trigonometry properties:

$tan(40^{o} )=\frac{55m}{x} \\x=\frac{55m}{tan(40^{o} )} \\x=65.55m$

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danielbamf1414

21.12.2020

The number of revolutions of the rotor required to turn the probe is 118 revolutions

Explanation:

Given;

rotational inertia of the electric motor, Im = 4.36 x 10⁻³ kg·m²

rotational inertia of the probe, Ip = 6.07 kg·m²

the angular position of the probe, θ = 30.6°

From the principle of conservation of angular momentum;

$I_m \omega _m = I_p \omega _p \\\\Also;\\\\I_m \theta _m = I_p \theta _p$

where;

$\omega _m$ is the angular velocity of the electric motor

$\omega _p$ is the angular velocity of the probe

$\theta _m$ is the angular position of the electric motor

$\theta _p$ is the angular position of the probe

$\theta _m = \frac{I_p \theta_p}{I_m} \\\\\theta _m = \frac{6.07* 30.6^o}{4.36*10^{-3}} = 42601.4^o$

360° = One revolution

42601.4° = ?

Divide 42601.4° by 360°

= 118 revolutions

Therefore, the number of revolutions of the rotor required to turn the probe is 118 revolutions

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