Engine is loud when driving and causing a vibration on passenger side

W age of car..mounts probly worn as well as steerin parts . If shakes wile drivin then tires or balljoints bad..this can b dangerous..u can buy good used tires but b joints can collapse rite on interstate. Seek an old school mech and not a dealr

Check for loose or worn suspension components. My XJ8 became unstable when a rear tie rod became worn. To check jack up rear wheels. If you can rock either of them left and right that might be your problem.

Maybe the heater fan shaft is bent causing vibrations

Most likely a tire/wheel balance issue. The weights that are used to balance the tires can sometimes fall off. Generally how far out of balance it is determines when and how bad it will shake. Unfortunately this is not fixable without a tire balancing machine, has to got to a tire shop.

Were the tires rotated or replaced recently? Most major tire shops will check the balance for you at little or no charge if you take it back to the shop where the work was done.

You can also try to identify the problem tire by rotating the front and rear tires one side at a time. For example, if the vibration is coming from the front, swap the front and rear passenger side tires and drive the vehicle again. If the vibration moves to the back it's most likely the (now) passenger side rear tire that's out of balance. If the is no change, try the driver's side tires.

Hope this helps!

Rev the engine while out of gear , if vibration check units driven by fan belts. if no vibration and is front wheel drive, check joints on both drive shafts, if rear wheel drive check front and rear tail shaft u / joints, check wheel balance or out of round tyre .

more then likely could be an off balanced tire or a tierod end do a complete inspection of all your joints and look for bad spots in tires... even new tires can have bad knots in the bands

Sounds like a tyre problem. Visually check rear tyres for tread depths and run your hands over the flat circumference of the tyre and feel for bulges or bumps. If ok then they probably require balancing, check to see if any of the lead weights have fell off recently!

could be a deformed tyre ,really need to drive it to see whats causing it

ck for vacuum leak associated with brake booster

Sounds like the wheel balance is out on the new tyres, if the rears are out of balance expect the car to shake, if the fronts are out expect the steering to shake.
Best thing is to take it back and have the balance checked. Also good idea to stay with the same make and type of tyres all round.

Regards
Chris