Typically not.
At that speed, vibration is most often caused by tire balance or a bent wheel.
AnswerUsually a pulsating brake pedal is an indication of a warped rotor. When you replaced the rotors did you torque the lug nuts to the proper specs, (80 ft lbs)? If not then you are warping them each time. Also make sure you tighten in a criss cross pattern. Of course you need to check each and every rotor for trueness. Also a warped wheel can cause this. Check all your wheels for a bent condition.If your brake pedal is pulsating. You might have a out of round rear brake drum. When your front rotors are warped you will feel it in your steering wheel. Try this test. lightly rest your foot on the brake pedal, with your foot resting on the pedal slowly apply your E brake. ( your E brake only works your rear brakes) If your brake pedal pulsates the problem is in the rear brakes.
Brake pedal switch bent or loose on its bracket under the pedal? Carpet pushed under the pedal pressing against the switch?
Bent brake light switch bracket above the brake pedal.
Tire out of balance, or bent wheel.
Problem with the brake switch, below the pedal. The mounting may have got bent keeping them on.
This sort of thing is usually caused by brake rotor thickness variation or out-of plane condition. Other possible causes are ovaled brake drums, bent hubs, bent (solid) axles, improperly seated brake rotor or drum.
Are rims bent, check body bushings or check engine with scanner for variations in running
Check your wheel bearings, tie rod ends, balljoints and CV axles. A bent rim will also cause a shake at high speed.
Rotors may not be balanced, calpiers may be installed incorrectly, tires may be out of balance or mounted wrong, wheels may be bent, steering linkage may be worn out or loose.
A hard brake pedal can be caused by several different factors. It can be as simple as the brake pedal getting caught on something to the power brake booster being bad. You could also have a brake pad or shoe that is sticking, causing the brake fluid to boil. When brake fluid boils, it expands and can cause the hard brake pedal that you feel. A brake pedal that is hard to press can also be caused by a build-up of water in the brake line. The water in the brake line lowers the boiling point of the brake fluid. A hard brake pedal can also be the result of a restriction in the brake line, such as a bent brake line or foreign material in the brake fluid. The most common cause of a hard brake pedal is the sticking brake pad or shoe, causing the brake fluid to boil. Tracking down what is causing the hard brake pedal can be frustrating, to say the least. Take the vehicle for a drive and when you come back, feel your brake lines near the wheels. Caution: The line may be very hot! If one is extremely hot, you may have just found the culprit causing the hard brake pedal.
Out of balance tire, tire with a slipped belt, bent rim, loose lug nuts, loose steering component, bent steering component, warped brake rotors, etc.