Rate of turn, radius, angle of bank and airspeed for aircraft?

No, if the airspeed is increased, the radius must also increase due to circular motion laws and centripetal acceleration.

One law of motion is that all moving objects have the tendency to continue

moving with constant speed along a fixed direction (straight line motion)

because that requires the least amount of energy (fuel). In making a turn,

a moving object deviates from the straight line motion so it is pushed outward

towards the straight line path. The outward push depends not only on the speed

of turn but also on the radius of turn. For a fixed radius, the greater the speed of

turn, the greater the outward push. For a fixed speed, the smaller radius of

turn gives the stronger outward push. In order to minimize the outward push

at higher speed, the radius of turn is increased to compensate for the

stronger outward push produced by increased speed of turn.

By "rate of turn," do you mean angular speed, measured in radians per second? I assume you do. If airspeed increases, but angular speed remains the same, then the radius of the turn must increase. Remember the definition of angular speed: omega = v/r.

The angle of bank, which controls acceleration, isn't necessary to answer this question.

Radius Of Turn

i think of this question would have diverse solutions based on the wing-to-weight ratio. the slower you are able to circulate, the tighter the turn, too sluggish and you stall out and fall out of the turn.. i used to play around in a cessna.. you ought to have the skill to come lower back rather close to on your answer from the flight handbook and a splash math.