The torque resulting from a force is expressed as τ= F r into the blade.
The force's moment is mathematically represented as τ = F x r, where the bold terms signify vectors. We can express this in terms of magnitude as τ = F r sin θ. In our scenario, since the force is tangential to the wheel, the angle between F and the radius is 90º, with sin 90 = 1. Hence, τ= F r.
The torque's direction can be determined using the right-hand rule, where fingers curling in accordance with the torque direction from force to radius, with the thumb indicating the torque's direction.
For a clockwise rotation, the fingers curl in that direction, and the thumb points inward toward the blade, indicating the direction of the torque.
(B) (length)/(time³) Explanation: The term x = ½ at² + bt³ should meet dimensional consistency. This means that both bt³ and ½ at² must share the same units, which are length. To find the dimension of b, we rearrange the equation: [x] = [b]*[t]³ leads to length = [b]*time³, hence [b] = length/time³.
Answer:
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Response:
The resistivity can be expressed as 
Clarification:
According to the information provided,
The value of the electric field measures 
The density of current is given as 
Typically, resistivity is represented in mathematical terms as

by inserting values


According to Snell’s Law:
Where: is the index of refraction of the first medium (glass), and is the index of refraction of the second medium (ice). The angle of incidence and the angle of refraction are represented by and. The refractive index quantifies the speed of light in a medium. The critical angle is identified as the angle at which total internal reflection occurs, meaning no light passes through into another medium. This phenomenon happens only when the light is transitioning from a medium with a higher index of refraction to one with a lower index of refraction.