Answer:289.02\ m
Explanation:
Given
width of river
velocity of current
Velocity of boat w.r.t to current perpendicular to current
therefore Perpendicular component of velocity will help boat to cover the width of river in time which is given by
In this time current will drift the boat a distance of
Answer:
a) The tangential component of acceleration at the edge of the motor at is -1.075 meters per square second.
b) The electric motor will take approximately 3.963 seconds to decrease its angular velocity by 75 %.
Explanation:
The angular aceleration of the electric motor (), measured in radians per square second, as a function of time (
), measured in seconds, is determined by the following formula:
(1)
The function for the angular velocity of the electric motor (), measured in radians per second, is found by integration:
(2)
Where is the initial angular velocity, measured in radians per second.
a) The tangential component of aceleration (), measured in meters per square second, is defined by the following formula:
(3)
Where is the radius of the electric motor, measured in meters.
If we know that ,
and
, then the tangential component of the acceleration at the edge of the motor is:
The tangential component of acceleration at the edge of the motor at is -1.075 meters per square second.
b) If we know that and
, then the time needed is:
The electric motor will take approximately 3.963 seconds to decrease its angular velocity by 75 %.
Answer:
3 x 10⁻⁹km
3 x 10⁻⁴cm
2.73 x 10⁶μm
Explanation:
A micron is a subunit of measurement usually for length dimensions.
1μm = 1 x 10⁻⁶m
a. How many microns make up 3km;
Now convert to meter first;
1000m = 1km
So, 3km will be made up of 3000m
So;
1 x 10⁻⁶m = 1μm
3000m = =
= 3 x 10⁻⁹km
b. How many centimeters equal 3.0 μm?
Since;
1μm = 1 x 10⁻⁶m
3μm = 3 x 1 x 10⁻⁶ = 3 x 10⁻⁶m
So;
100cm = 1m;
1m = 100cm
3 x 10⁻⁶m = 3 x 10⁻⁶ x 10² = 3 x 10⁻⁴cm
c. How many microns are in 3.0 yd?
1yd = 0.91m
3yd = 3 x 0.91 = 2.73m
So;
1 x 10⁻⁶m = 1μm
2.73m will give = 2.73 x 10⁶μm