Answer:
1.15 rad/s²
Explanation:
given,
angular speed of turntable = 45 rpm
=
=
time, t = 4.10 s
initial angular speed = 0 rad/s
angular acceleration.



Hence, the angular acceleration of the turntable is 1.15 rad/s²
Answer:
The correct option is A. 18 V
Therefore,
Explanation:
Given:
Total Voltage,
V = 56 V,
Voltage drop


To Find:
(Assumed ,as it is not given clearly in the question)
Solution:
So in series combination total Voltage is given as

Substituting the values we get

Therefore,
Answer:
Ideal machines are said to have parts which are weightless , frictionless and strings if any are inextensible. Practical machines have parts which have weights, friction and it causes some loss of work done. So these are the differences between Ideal Machine and Practical Machines.
Answer:
circumference of earth = 24000 miles
Explanation:
given data
New York and Los Angeles distance = 3000 mi
time difference = 3 h
to find out
circumference of the Earth
solution
we find speed first that is
speed = 
speed = 
speed = 1000 mph
now we know speed of earth is
speed = 
so
circumference = speed × time of rotation
and we know earth take 24 hours to rotate at its axis
so
circumference of earth = 1000 × 24
circumference of earth = 24000 miles
Answer:
Magnitude of the acceleration = 1.90 m/s²
Direction of the acceleration = 65.1° (measured counter clockwisely from the +x axis) or 65.1° north of East
Explanation:
The net force is the vector sum of all the forces acting on the sailboat.
One force is due to the action of the water on the hull of the boat and is directed east and has a magnitude of 1990 N; in vector form, F₁ = (1990j) N
The other force is due to the action of the wind on the sails and is directed northeast with a magnitude of 2440 N; in vector form, F₂ = 2440 [(cos 45°)î + (sin 45°)j] N = 1725î + 1725j) N
Net force = F₁ + F₂ = 1990j + (1725î + 1725j) = (1725î + 3715j) N
According to Newton's law, Net force causes acceleration of A body,
Net force = ma
a = (Net force)/m
a = (1725î + 3715j)/2160 = (0.80î + 1.72j) m/s²
Magnitude of acceleration
/a/ = √[(0.8²) + (1.72²)] = 1.90 m/s²
Direction of the acceleration = tan⁻¹ (1.72/0.8) = 65.1°