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Nesterboy [21]
4 years ago
6

A turntable rotates counterclockwise at 78 rpmrpm . A speck of dust on the turntable is at 0.46 radrad at t=0t=0. What is the an

gle of the speck at ttt = 8.0 ss ? Your answer should be between 00 and 2π2π radrad. Express your answer in radians to two significant figures.
Physics
1 answer:
Eddi Din [679]4 years ago
4 0

Answer:

The answer is 2.97 rad.

Explanation:

the angular velocity will be equal to:

Angular speed = 78 rpm = 78 rotation/60 s = (78 * 2pi rad)/60 s = (13/5)*pi rad/s

in 8 seconds the angle will move = 8 * (13/5) = (104/5) * pi = 20.8 * pi

θinitial = 0.46 rad = 0.146 * pi rad

θfinal = (20.8 * pi) + (0.146 * pi) = 20.946 * pi = 10 * 2* pi + 0.946 * pi = 0.946* pi = 2.97 rad

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You are travelling at 60.0 mph on the Grand Central Parkway near exit 10 where it is (nearly) parallel to the Long Island Expres
Romashka-Z-Leto [24]

Answer:

a)Vr= 5 mph

b)Vr= 115 mph

Explanation:

Lets

your velocity ,u= 60 mph

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When object are moving in opposite direction the relative velocity  = u +v When object are moving in opposite direction the relative velocity  = u - v

a)

Truck is moving in the same direction ,so the  relative velocity

Vr= = u - v

Vr= 60 - 55

Vr= 5 mph

b)

Truck is moving in the opposite direction ,so the  relative velocity

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4 0
3 years ago
Oil at 150 C flows slowly through a long, thin-walled pipe of 30-mm inner diameter. The pipe is suspended in a room for which th
chubhunter [2.5K]

Answer:

<em>1.01 W/m</em>

Explanation:

diameter of the pipe d = 30 mm = 0.03 m

radius of the pipe r = d/2 = 0.015 m

external air temperature Ta = 20 °C

temperature of pipe wall Tw = 150 °C

convection coefficient at outer tube surface h = 11 W/m^2-K

From the above,<em> we assumed that the pipe wall and the oil are in thermal equilibrium</em>.

area of the pipe per unit length A = \pi r ^{2} = 7.069*10^{-4} m^2/m

convectional heat loss Q = Ah(Tw - Ta)

Q = 7.069 x 10^-4 x 11 x (150 - 20)

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4 0
4 years ago
A flea jumps by exerting a force of 1.09 ✕ 10−5 N straight down on the ground. A breeze blowing on the flea parallel to the grou
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Answer:

a= 17.877 m/s² : Magnitude of the acceleration of the flea

β = 88.21°  :  Direction  of the acceleration of the flea

Explanation:

Conceptual analysis

We apply Newton's second law:

∑F = m*a (Formula 1)

∑F : algebraic sum of the forces in Newton (N)

m : mass in kilograms (kg)

a : acceleration in meters over second square (m/s²)

Problem development

Look at the flea free body diagram in the attached graphic

The acceleration is presented in the direction of the resultant force (R) applied over the flea .

R= \sqrt{(F_{x})^{2} + (F_{y})^{2} }

R= \sqrt{(10.9)^{2}+(0.340)^{2}  } *10^{-6} N

R= 10.905*10⁻⁶ N

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R = m*a

a= R/m

a= (10.905*10⁻⁶) /  (6.1 * 10⁻⁷ )

a= 17.877 m/s²

β: Direction and magnitude of the acceleration of the flea

\beta = tan^{-1} (\frac{F_{y} }{F_{x} } )

\beta = tan^{-1} (\frac{10.9*10^{-6} }{0.340*10^{-6} } )

β = 88.21°

5 0
4 years ago
What is the change in internal energy if 20 J of heat is released from a system and the system does 50 J of work on the surround
hjlf

The correct answer is a -80 J

3 0
3 years ago
Read 2 more answers
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