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Ne4ueva [31]
3 years ago
14

A wheel starts from rest and rotates with constant angular acceleration and reaches an anaular speed of 12 rad/s in 3 s. Find (a

) the magnitude of the angular acceleration of the wheel and (b) the angle (in radian) through which it rotates in this time.
Physics
1 answer:
Vadim26 [7]3 years ago
8 0

Answer:

(a) 4 rad/s^2

(b) 18 rad

Explanation:

w0 = 0, w = 12 rad/s, t = 3 s

(a) Let α be the angular acceleration.

w = w0 + α t

12 = 0 + 3 α

α = 4 rad/s^2

(b) Let θ be the angle rotated

θ = w0 t + 1/2 α t^2

θ = 0 + 0.5 x 4 x 9

θ = 18 rad

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Open the Earth Science textbook to page 239 and summarize what “Wegener’s Hypothesis” is.
solniwko [45]

Alfred Wegener first presented his hypothesis to the German Geological Society on 6 January 1912. His hypothesis was that the continents had once formed a single landmass, called Pangaea, before breaking apart and drifting to their present locations.

7 0
4 years ago
Two sources of light of wavelength 710 nm are 9 m away from a pinhole of diameter 1 mm. How far apart must the sources be for th
Zepler [3.9K]

Answer:

7.8 mm

Explanation:

Wavelength = λ = 710 nm = 710×10⁻⁹ m

Distance between light sources =  L = 9 m

Diameter of pinhole = d = 1 mm = 1×10⁻³ m

Rayleigh Criterion

D=1.22\frac{L\lambda}{d}\\\Rightarrow D=1.22\frac{9\times 710\times 10^{-9}}{1\times 10^{-3}}\\\Rightarrow D=0.0077\ m=7.8\ mm

Distance between difraction pattern is 7.8 mm.

4 0
4 years ago
Calculate the heat gained by 100 grams of ice at -20°C in order to become water at 50°C. ( C = .5 for ice and C = 1 for water, Q
Korvikt [17]

Answer:

6008 cal

Explanation:

m_{i} = mass of ice = 100 g = 0.1 kg

c_{i}  = specific heat of ice = 0.5 cal/(kg°C)

c_{w}  = specific heat of water = 1 cal/(kg°C)

L  = Latent heat of fusion of ice = 80 J/g

T_{i}  = initial temperature of ice = - 20 °C

T_{f}  = final temperature of ice = 50 °C

Q = Heat gained

Heat gained is given as

Q = m_{i} c_{i}(0 - (T_{i}))+ m_{i}L + m_{i}c_{w}(T_{i} - 0)

Q = (100) (0.5) (0 - (- 20))+ (0.1)(80) + (100) (1)(50 - 0)

Q = 6008 cal

8 0
3 years ago
Scientist who discovered that the nucleus contains neutrons in addition to protons.
ZanzabumX [31]

Answer: James Chadwick

:)

5 0
3 years ago
A spring with k = 19.5 N/cm is initially stretched 1.39 cm from its equilibrium length. a) How much more energy is needed to fur
lara31 [8.8K]

Answer:

Energy needed = 54.02 J

Explanation:

the Energy in an elastic spring from hookes law is given  as

F= ke , therefore the energy (E) is

E = \frac{1}{2} Ke^{2}

K = 19.5 N/cm

e = 1.39cm

E = \frac{1}{2} x 19.5 x 1.39

E = 13.55 J

The energy to stretch the spring for 6.93cm is

E = \frac{1}{2} x 19.5 x 6.93

E = 67.57 J

The more energy needed for the further stretch is

67.57 - 13.55

Energy needed = 54.02 J

7 0
3 years ago
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