Explanation:
We have equation of motion v = u + at
Initial angular velocity, u = 0 rad/s
Final angular velocity, v = 32 rad/s
Time, t = 0.40 s
Substituting
v = u + at
32 = 0 + a x 0.40
a = 80 rad/s²
Angular acceleration is 80 rad/s²
We have equation of motion s = ut + 0.5 at²
Initial angular velocity, u = 0 rad/s
Angular acceleration, a = 80 rad/s²
Time, t = 0.4 s
Substituting
s = ut + 0.5 at²
s = 0 x 0.4 + 0.5 x 80 x 0.4²
s = 6.4 rad
Angular displacement = 6.4 rad
Number of revolutions undergone is 1.02
Answer:
0.25 N
Explanation:
The density of the ball () = 0.0839 g/cm³ = 83.9 kg/m³
The density of water () = 1000 kg/m³
diameter = 3.77 cm = 0.0377 m
radius of ball = 0.0377/2 = 0.01885 m
The volume (V) =
Let us assume the acceleration due to gravity (g) = 9.8 m/s²
Hence:
The force is required to hold it completely submerged under water (F) is:
F = 0.25 N
Answer: 9 days
Explanation:
Let the rate of Leaf growth <em>r</em> be defined as, =
where <em>A</em> is initial area of the leaf, <em>A1</em> is the final area of the leaf and<em> t</em> is the time taken for the increase in Area.
Given that rate of leaf growth, r is proportional to the surface area of the leaf A. we have r ∝ A.
r = kA, where k is the rate constant.
therefore, k =
when A = 2, A1 = 3
so k =
= ÷ 2
= 0.33 ÷ 2
k = 0.167
so, 0.167 × 2 =
0.33 = .
t = 3/0.33
Therefore, t = 9 days.