Answer:
α = 1.32 rad/s²
Explanation:
given,
diameter of the bicycle = 0.8 m
radius of the bicycle = 0.4 m
initial speed of the bicyclist,u = 0 m/s
final speed of the bicyclist,v = 22 Km/h = 22 x 0.278
= 6.12 m/s
time,t = 11.6 s
acceleration =
=
=0.53 m/s²
we know,
a = α r


α = 1.32 rad/s²
the angular acceleration of the wheels is equal to α = 1.32 rad/s²
This question is incomplete, the complete question is;
A parallel-plate capacitor is made from two aluminum-foil sheets, each 3.0 cm wide and 5.00 m long. Between the sheets is a mica strip of the same width and length that is 0.0225 mm thick. What is the maximum charge?
(The dielectric constant of mica is 5.4, and its dielectric strength is 1.00×10⁸ V/m)
Answer: the maximum charge q is 716.85 μF
Explanation:
Given data;
with = 3.0 cm = 0.03
breathe = 5.0 m
Area = 0.03 × 5 = 0.15 m²
dielectric strength E = 1.00 × 10⁸
∈₀ = 8.85 × 10⁻¹²
constant K = 5.4
maximum charge = ?
the capacitor C = KA∈₀ / d
q = cv so c = q/v
now
q/v = KA∈₀ / d
q = vKA∈₀/d = EKA∈₀
we substitute
q = (1.00 × 10⁸) × 5.4 × 0.15 × 8.85 × 10⁻¹²
q = 716.85 × 10⁻⁶ F
q = 716.85 μF
the maximum charge q is 716.85 μF
Answer:
The corresponding dimensions will be "x = 300 & y = 60".
Explanation:
Available fencing = 600 ft
Fencing,
⇒ 
⇒ 
As we know,
⇒ 
On substituting the given values, we get

...(equation 1)
On differentiating with respect to y, we get
⇒ 




On putting the values of y in equation 1, we get
⇒ 
⇒ 
⇒ 
⇒ 
Dimensions of the rectangular area:
x = 300
y = 60
Answer:
New resistance = 243 ohm
Explanation:
Given:
Current resistance = 27 ohm
Computation:
The wire is extended to three times its initial size, and its cross-section is therefore shortened to one-third of how it used to be. We found the current resistance to be 3x3= 9 times
So,
New resistance = 27 x 9
New resistance = 243 ohm