Physics, 15.04.2020 21:59 brittneylouise2852

A key lime pie in a 10.00 inch diameter plate is placed upon a rotating tray. Then, the tray is rotated such that the rim of the pie plate moves through a distance of 108 inches. Express the angular distance that the pie plate has moved through in revolutions, radians, and degrees.() revolutions()radians()degreeIf the pie is cut into 9 equal slices, express the angular size of one slice in radians, as a fraction of pie?

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Answer from: diawia

The angular distance in revolution is $revolution = 3.439 \ revolution$

The angular distance in radians is $\theta_{rad}= 21.6 \ radians$

The angular distance in degrees is $\theta =1238.04^o$

The angular size is $Z = \frac{2}{9} \pi \ radians$

Explanation:

From the question we are told that

The diameter is $d = 10 \ inches$

The distance moved by the rim is $D = 108 \ inches$

Generally the circumference of the pie plate is mathematically represented as

$C = \pi d$

Substituting the values

C = 10 *3.142

$= 31.42 \ inches$

The number resolution carried out by the pie plate is evaluated as

$revolution = \frac{D}{C}$

Substituting value

$revolution = \frac{108}{31.4}$

$revolution = 3.439 \ revolution$

The angular distance $\theta_{rad}$ is mathematically evaluated as

$\theta_{rad} = \frac{D}{r}$

Where r is the radius which is mathematically evaluated as

$r = \frac{d}{2} = \frac{10}{2} = 5 \ inches$

Substituting this into the equation for angular distance

$\theta_{rad} = \frac{108}{5}$

$\theta_{rad}= 21.6 \ radians$

The angular distance traveled in degrees is

$\theta = 3.439 *360$

$\theta =1238.04^o$

When the pie is cut into 9 equal parts

The angular size would be mathematically evaluated as

$Z = \frac{2\pi}{9}$

$Z = \frac{2}{9} \pi \ radians$

Answer from: Quest

a) electrical > light, sound, and thermal< < < <

) the mechanical energy of the firefighter moving.< < < < a) electrical > light, sound, and thermal< < < <

c) both a and b.

Answer from: Quest

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol

b. a hockey puck sliding across the ice

c. a compressed spring

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice is the correct option.

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A key lime pie in a 10.00 inch diameter plate is placed upon a rotating tray. Then, the tray is rota...

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