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Mariana [72]
4 years ago
11

The edge of a flying disc with a radius of 0.13 m spins with a tangential speed of 3.3 m/s.

Physics
2 answers:
Nesterboy [21]4 years ago
8 0
A = v²/r

v = 3.3 m/s
r = 0.13 m

a: centripetal acceleration
Aleks [24]4 years ago
3 0

By definition, centripetal acceleration is given by:

a = \frac{v ^ 2}{r}

Where,

v: tangential disk speed

r: disk radius

Substituting values in the given equation we have:

a =\frac{3.3^2}{0.13}\\a = 83.76923077

Rounding the result we have:

a = 83.8 \frac{m}{s^2}

Answer:

The centripetal acceleration of the disc edge in m/s^2 is:

a = 83.8 \frac{m}{s^2}

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A pencil rolls horizontally of a 1 meter high desk and lands .25 meters from the base of the desk. How fast was the pencil rolli
vovikov84 [41]

Answer: 0.55 m/s

Explanation:

This situation is related to projectile motion (also called parabolic motion), where the main equations are as follows:

x=V_{o} cos\theta t (1)

y=y_{o}+Vo sin \theta t + \frac{g}{2}t^{2} (2)

Where:

x=0.25 m is the horizontal displacement of the pencil

V_{o} is the pencil's initial velocity

\theta=0\° since we are told the pencil rolls <u>horizontally</u> before falling

t is the time since the pencil falls until it hits the ground

y_{o}=1 m  is the initial height of the pencil

y=0  is the final height of the pencil (when it finally hits the ground)

g=-9.8m/s^{2}  is the acceleration due gravity, always acting vertically downwards

Begining with (1):

x=V_{o} cos(0\°) t (3)

x=V_{o}t (4)

Finding t from (2):

0=1 m+ \frac{-9.8m/s^{2}}{2}t^{2} (5)

t=\sqrt{\frac{-2y_{o}}{g}} (6)

Substituting (6) in (4):

x=V_{o}\sqrt{\frac{-2y_{o}}{g}} (7)

Isolating V_{o}:

V_{o}=\frac{x}{\sqrt{\frac{-2y_{o}}{g}}} (8)

V_{o}=\frac{0.25 m}{\sqrt{\frac{-2(1 m)}{-9.8m/s^{2}}}} (9)

Finally:

V_{o}=0.55 m/s

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4 years ago
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