Answer:
(a) 83.73 rad/s
(b) 251.2 m/s
(c) 3505.4 rad/s^2
(d) 5024 m
Explanation:
R = 50 cm = 0.5 m, f = 800 rpm = 800 / 60 rps
(a) Angular velocity, w = 2 x 3.14 x f = 2 x 3.14 x 800 / 60 = 83.73 rad / s
(b) The relation between linear speed and the angular speed is
V = r w
Here, r = 30 cm = 0.3 m
V = 0.3 x 83.73 = 25.12 m/s
(c) Radial acceleration = R w^2 = 0.5 x 83.73 x 83.73 = 3505.4 rad/s^2
(d) Time period T = 2 x 3.14 / w
T = 2 x 3.14 / 83.73 = 0.075 sec
In 0.075 second, angle turn = 360 degree
In 120 second, the angle turn = 360 x 120 / 0.075 = 576000 degree
In 360 degree, the distance traveled = 2 x pi x R
In 576000 degree, the distance traveled = 2 x 3.14 x 0.5 x 576000 / 360
= 5024 m
Answer:
1.805 mm
Explanation:
Extension in the steel wire = WL_{steel}/AE_{steel}
Extension in the aluminium wire = WL_{Al}/AE_{Al}
Total extension = W/A * (L_{steel}/E_{steel} + L_{Al}/E_{Al})
we have:
W = mg
W = 5 × 9.8
W = 49 N
Area A = π/4 × (0.001)²
= 7.85398 × 10 ⁻⁷ m²
Total extension = W/A * (L_{steel}/E_{steel} + L_{Al}/E_{Al})
Total extension = 49/ 7.85398 × 10 ⁻⁷ ( (1.5/ 200×10⁹) + 1.5/ 70×10⁹))
Total extension = 0.0018048
Total extension = 1.805 mm
Thus, the total extension = the resulting change in the length of this composite wire = 1.805 mm
Answer:
<em> Tides are the rise and fall of sea levels. Tides occur due to the gravitational forces exerted on the Earth by moon, and to a lesser extent, the sun. That's why tides occur in ocean or sea.</em>
Hope this helps
:)
The answer is c because:
Work done =force x distance
